157 publications found

M. Alberich-Carramiñana, J. Guàrdia, E. Nart, J. Roé.
Valuative trees over valued fields.
J. Algebra, 614, 71-114. 2023. [DOI]

F. Bars, M. Kamel, A. Schweizer.
Bielliptic quotient modular curves of {$X_0(N)$}.
Math. Comp., 92(340), 895-929. 2023. [DOI]

E. N. Maria Alberich-Carramiñana, J. Roé.
Valuations with an infinite limit-depth.
Commun. Algebra, 1-12. 2023. [DOI]

E. Nart, J. Novacoski.
Geometric parametrization of valuations on a polynomial ring in one variable.
Math. Z., 304(4), Paper No. 59, 21. 2023. [DOI]

E. Nart, J. Novacoski.
The defect formula.
Adv. Math., 428, Paper No. 109153, 44. 2023. [DOI]

A. Bandini, F. Bars, E. Coscelli.
Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions.
J. Number Theory, 232, 261-282. 2022. [DOI]

F. Bars, T. Dalal.
Infinitely many cubic points for {$X_0^+(N)$} over {$\Bbb q$}.
Acta Arith., 206(4), 373-388. 2022. [DOI]

M. Fornea, X. Guitart, M. Masdeu.
Plectic {$p$}-adic invariants.
Adv. Math., 406, Paper No. 108484, 26. 2022. [DOI]

J. Guàrdia, E. Nart.
Square-free {OM} computation of global integral bases.
ALGEBR NUMBER THEORY, 16(6), 1327-1376. 2022. [DOI]

F. Kuhlmann, E. Nart.
Cuts and small extensions of abelian ordered groups.
J. Pure Appl. Algebra, 226(11), Paper No. 107103, 30. 2022. [DOI]

E. Nart.
Rigidity of valuative trees under henselization.
Pacific J. Math., 319(1), 189-211. 2022. [DOI]

J. Roé, T. Szemberg.
On the number of vertices of Newton-Okounkov polygons.
Rev. Mat. Iberoam., 38(5), 1383-1397. 2022. [DOI]

M. Alberich-Carramiñana, A. F. F. Boix, J. Fernández, J. Guàrdia, E. Nart, J. Roé.
Of limit key polynomials.
Illinois J. Math., 65(1), 201-229. 2021. [DOI]

E. Badr, F. Bars.
Bielliptic smooth plane curves and quadratic points.
Int. J. Number Theory, 17(4), 1047-1066. 2021. [DOI]

F. Bars, J. González.
The automorphism group of the modular curve {$X_0^*(N)$} with square-free level.
Trans. Amer. Math. Soc., 374(8), 5783-5803. 2021. [DOI]

F. Bars, J. González, X. Xarles.
Hyperelliptic parametrizations of {$\Bbb{Q}$} curves.
Ramanujan J., 56(1), 103-120. 2021. [DOI]

M. Dumnicki, B. Harbourne, J. Roé, T. Szemberg, H. Tutaj-Gasińska.
Unexpected surfaces singular on lines in {$\Bbb p^3$}.
Eur. J. Math., 7(2), 570-590. 2021. [DOI]

F. Gatti, X. Guitart, M. Masdeu, V. Rotger.
Special values of triple-product {$p$}-adic {$L$}-functions and non-crystalline diagonal classes.
J. Theor. Nombr. Bordx., 33(3, part 1), 809-834. 2021.

X. Guitart, M. Masdeu, X. Xarles.
A quaternionic construction of {$p$}-adic singular moduli.
Research in the Mathematical Sciences, 8(3), Paper No. 45, 20. 2021. [DOI]

A. Küronya, C. Maclean, J. Roé.
Concave transforms of filtrations and rationality of Seshadri constants.
Trans. Amer. Math. Soc., 374(12), 8309-8332. 2021. [DOI]

A. Küronya, C. Maclean, J. Roé.
Newton-Okounkov theory in an abstract setting.
Beitr. Algebra Geom., 62(2), 375-395. 2021. [DOI]

N. Moraes de Oliveira, E. Nart.
Computation of residual polynomial operators of inductive valuations.
J. Pure Appl. Algebra, 225(9), Paper No. 106668, 31. 2021. [DOI]

E. Nart.
MacLane-Vaquié chains of valuations on a polynomial ring.
Pacific J. Math., 311(1), 165-195. 2021. [DOI]

P. Pokora, J. Roé.
The 21 reducible polars of Klein's quartic.
Experiment. Math., 30(1), 1-18. 2021. [DOI]

B. Anglès, A. Bandini, F. Bars, I. Longhi.
Iwasawa main conjecture for the Carlitz cyclotomic extension and applications.
Math. Ann., 376(1-2), 475-523. 2020. [DOI]

E. Badr, F. Bars.
Hypersurface model-fields of definition for smooth hypersurfaces and their twists.
Acta Arith., 194(3), 267-280. 2020. [DOI]

A. Bandini, F. Bars, I. Longhi.
Aspects of Iwasawa theory over function fields.
In {$t$}-motives: Hodge structures, transcendence and other motivic aspects, 375-416. EMS Publ. House, Berlin, 2020.

F. Bars, J. González.
Bielliptic modular curves {$X^*_0(N)$}.
J. Algebra, 559, 726-759. 2020. [DOI]

F. Bars, J. González, M. Kamel.
Bielliptic quotient modular curves with {$N$} square-free.
J. Number Theory, 216, 380-402. 2020. [DOI]

X. Guitart, M. Masdeu, S. Molina.
An automorphic approach to Darmon points.
Indiana Univ. Math. J., 69(4), 1251-1274. 2020. [DOI]

N. Moraes de Oliveira, E. Nart.
Defectless polynomials over henselian fields and inductive valuations.
J. Algebra, 541, 270-307. 2020. [DOI]

E. Nart.
Key polynomials over valued fields.
Publ. Mat., 64(1), 195-232. 2020. [DOI]

E. Badr, F. Bars.
Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves.
J. Number Theory, 194, 278-283. 2019. [DOI]

E. Badr, F. Bars, E. Lorenzo García.
On twists of smooth plane curves.
Math. Comp., 88(315), 421-438. 2019. [DOI]

F. Bars, J. González Rovira.
Bielliptic modular curves {$X_0^*(N)$} with square-free levels.
Math. Comp., 88(320), 2939-2957. 2019. [DOI]

X. Guitart, M. Masdeu.
Computing {$p$}-adic periods of abelian varieties from automorphic forms.
In Automorphic forms and related topics, 75-83. Amer. Math. Soc., [Providence], RI, 2019. [DOI]

P. Pokora, J. Roé.
Harbourne constants, pull-back clusters and ramified morphisms.
Results Math., 74(3), Paper No. 109, 24. 2019. [DOI]

M. Alberich-Carramiñana, C. Galindo, A. Küronya, J. Roé.
Extended abstracts February 2016--positivity and valuations.
Birkhäuser/Springer, Cham, 2018. (Papers based on the presentations at the workshop held at the Centre de Recerca Matemàtica, Barcelona, February 2016)

E. Badr, F. Bars, E. Lorenzo García.
The Picard group of Brauer-Severi varieties.
OPEN MATH, 16(1), 1196-1203. 2018. [DOI]

F. Bars.
On quadratic points of classical modular curves.
In Number theory related to modular curves--Momose memorial volume, 17-34. Amer. Math. Soc., [Providence], RI, 2018. [DOI]

A. Camara, I. Giné, R. Gualdi, N. Kalinin, J. Roé, M. Ulirsch, S. Urbinati, X. Xarles.
Newton-Okounkov bodies and reified valuations of higher rank.
In Extended abstracts February 2016--positivity and valuations, 113-118. Birkhäuser/Springer, Cham, 2018. [DOI]

X. Guitart, M. Masdeu.
Periods of modular {$\rm gL_2$}-type abelian varieties and {$p$}-adic integration.
Experiment. Math., 27(3), 344-361. 2018. [DOI]

A. Küronya, J. Roé.
Sufficient conditions for the finite generation of valuation semigroups.
In Extended abstracts February 2016--positivity and valuations, 9-16. Birkhäuser/Springer, Cham, 2018. [DOI]

M. Masdeu, M. A. Seveso.
Poincaré duality isomorphisms in tensor categories.
J. Pure Appl. Algebra, 222(10), 3075-3123. 2018. [DOI]

J. Roé, P. Supino.
Nagata type statements.
In Phenomenological approach to algebraic geometry, 213-258. Polish Acad. Sci. Inst. Math., Warsaw, 2018.

J. Roé, X. Xarles.
Galois descent for the gonality of curves.
Math. Res. Lett., 25(5), 1567-1589. 2018. [DOI]

X. Xarles.
The primes, revealed.
Butl. Soc. Catalana Mat., 33(1), 57-80. 2018. [DOI]

F. Bars.
Vladimir Gershonovich Drinfeld.
Gac. R. Soc. Mat. Esp., 20(1), 171-192. 2017. [DOI]

T. Bauer, B. Harbourne, J. Roé, T. Szemberg.
The Halphen cubics of order two.
Collect. Math., 68(3), 339-357. 2017. [DOI]

C. Ciliberto, M. Farnik, A. Küronya, V. Lozovanu, J. Roé, C. Shramov.
Newton-Okounkov bodies sprouting on the valuative tree.
Rend. Circ. Mat. Palermo (2), 66(2), 161-194. 2017. [DOI]

M. Dumnicki, B. Harbourne, A. Küronya, J. Roé, T. Szemberg.
Very general monomial valuations of {$\Bbb p^2$} and a Nagata type conjecture.
Commun. Anal. Geom., 25(1), 125-161. 2017. [DOI]

M. Masdeu, M. A. Seveso.
Dirac operators in tensor categories and the motive of quaternionic modular forms.
Adv. Math., 313, 628-688. 2017. [DOI]

N. Moraes de Oliveira, E. Nart.
Reduced normal form of local integral bases.
Acta Arith., 178(2), 181-200. 2017. [DOI]

E. Badr, F. Bars.
On the locus of smooth plane curves with a fixed automorphism group.
Mediterranean J. Math., 13(5), 3605-3627. 2016. [DOI]

E. Badr, F. Bars.
Automorphism groups of nonsingular plane curves of degree 5.
Commun. Algebra, 44(10), 4327-4340. 2016. [DOI]

E. Badr, F. Bars.
Non-singular plane curves with an element of "large" order in its automorphism group.
Int. J. Algebr. Comput., 26(2), 399-433. 2016. [DOI]

X. Guitart, M. Masdeu, M. H. \c{S}engün.
Uniformization of modular elliptic curves via {$p$}-adic periods.
J. Algebra, 445, 458-502. 2016. [DOI]

E. Nart.
On the equivalence of types.
J. Theor. Nombr. Bordx., 28(3), 743-771. 2016.

J. Roé.
Local positivity in terms of Newton-Okounkov bodies.
Adv. Math., 301, 486-498. 2016. [DOI]

A. Bandini, F. Bars, I. Longhi.
Characteristic ideals and Selmer groups.
J. Number Theory, 157, 530-546. 2015. [DOI]

J. Fernández, J. Guàrdia, J. Montes, E. Nart.
Residual ideals of MacLane valuations.
J. Algebra, 427, 30-75. 2015. [DOI]

J. Guàrdia, J. Montes, E. Nart.
Higher Newton polygons and integral bases.
J. Number Theory, 147, 549-589. 2015. [DOI]

X. Guitart, M. Masdeu.
A {$p$}-adic construction of {ATR} points on {$\Bbb{Q}$}-curves.
Publ. Mat., 59(2), 511-545. 2015.

X. Guitart, M. Masdeu.
Elementary matrix decomposition and the computation of Darmon points with higher conductor.
Math. Comp., 84(292), 875-893. 2015. [DOI]

X. Guitart, M. Masdeu, M. H. \c{S}engün.
Darmon points on elliptic curves over number fields of arbitrary signature.
Proc. Lond. Math. Soc. (3), 111(2), 484-518. 2015. [DOI]

D. Burns, F. Trihan.
On geometric Iwasawa theory and special values of zeta functions.
In Arithmetic geometry over global function fields, 121-181. Birkhäuser/Springer, Basel, 2014. (with an appendix by Francesc Bars)

C. Franc, M. Masdeu.
Computing fundamental domains for the Bruhat-Tits tree for $GL_2(Q_p)$, $p$-adic automorphic forms, and the canonical embedding of Shimura curves.
17(1), 1-23. 2014. [DOI]

X. Guitart, M. Masdeu.
Overconvergent cohomology and quaternionic Darmon points.
J. London Math. Soc. (2), 90(2), 495-524. 2014. [DOI]

E. Nart.
Local computation of differents and discriminants.
Math. Comp., 83(287), 1513-1534. 2014. [DOI]

J. Roé.
Maximal rank for schemes of small multiplicity by Évain's differential Horace method.
Trans. Amer. Math. Soc., 366(2), 857-874. 2014. [DOI]

F. Bars, A. Kontogeorgis, X. Xarles.
Bielliptic and hyperelliptic modular curves {$X(N)$} and the group {${\rm aut}(X(N))$}.
Acta Arith., 161(3), 283-299. 2013. [DOI]

C. Ciliberto, B. Harbourne, R. Miranda, J. Roé.
Variations of Nagata's conjecture.
In A celebration of algebraic geometry, 185-203. Amer. Math. Soc., Providence, RI, 2013.

E. González-Jiménez, X. Xarles.
Five squares in arithmetic progression over quadratic fields.
Rev. Mat. Iberoam., 29(4), 1211-1238. 2013. [DOI]

J. Guàrdia, J. Montes, E. Nart.
A new computational approach to ideal theory in number fields.
Found. Comput. Math., 13(5), 729-762. 2013. [DOI]

X. Guitart, M. Masdeu.
Computation of {ATR} Darmon points on nongeometrically modular elliptic curves.
Experiment. Math., 22(1), 85-98. 2013. [DOI]

X. Guitart, M. Masdeu.
Continued fractions in {$2$}-stage Euclidean quadratic fields.
Math. Comp., 82(282), 1223-1233. 2013. [DOI]

J. Roé.
Involutions on a tropical line.
Math. Scand., 112(1), 78-85. 2013. [DOI]

X. Xarles.
Trivial points on towers of curves.
J. Theor. Nombr. Bordx., 25(2), 477-498. 2013.

T. Bauer, C. Bocci, S. Cooper, S. Di Rocco, M. Dumnicki, B. Harbourne, K. Jabbusch, A. L. Knutsen, A. Küronya, R. Miranda, J. Roé, H. Schenck, T. Szemberg, Z. Teitler.
Recent developments and open problems in linear series.
In Contributions to algebraic geometry, 93-140. Eur. Math. Soc., Zürich, 2012. [DOI]

L. El Fadil, J. Montes, E. Nart.
Newton polygons and {$p$}-integral bases of quartic number fields.
J. Algebra Appl., 11(4), 1250073, 33. 2012. [DOI]

A. Gasull, V. Mañosa, X. Xarles.
Rational periodic sequences for the Lyness recurrence.
Discrete Contin. Dyn. Syst., 32(2), 587-604. 2012. [DOI]

J. Guàrdia, J. Montes, E. Nart.
Newton polygons of higher order in algebraic number theory.
Trans. Amer. Math. Soc., 364(1), 361-416. 2012. [DOI]

J. Guàrdia, E. Nart, S. Pauli.
Single-factor lifting and factorization of polynomials over local fields.
J. Symbolic Comput., 47(11), 1318-1346. 2012. [DOI]

M. Masdeu.
CM cycles on Shimura curves, and {$p$}-adic {$L$}-functions.
Compositio Math., 148(4), 1003-1032. 2012. [DOI]

J. Roé.
Blowup and specialization methods for the study of linear systems.
Ann. Univ. Paedagog. Crac. Stud. Math., 11, 38-42. 2012.

X. Xarles.
Squares in arithmetic progression over number fields.
J. Number Theory, 132(3), 379-389. 2012. [DOI]

F. Bars.
On the Tamagawa number conjecture for Hecke characters.
Math. Nachr., 284(5-6), 608-628. 2011. [DOI]

E. Casas-Alvero, J. Roé.
Iterated inverse images of plane curve singularities.
Acta Math. Sin. (Engl. Ser.), 27(12), 2319-2328. 2011. [DOI]

C. Ciliberto, O. Dumitrescu, R. Miranda, J. Roé.
Emptiness of homogeneous linear systems with ten general base points.
In Classification of algebraic varieties, 189-195. Eur. Math. Soc., Zürich, 2011. [DOI]

E. González-Jiménez, X. Xarles.
On symmetric square values of quadratic polynomials.
Acta Arith., 149(2), 145-159. 2011. [DOI]

J. Guàrdia, J. Montes, E. Nart.
Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields.
J. Theor. Nombr. Bordx., 23(3), 667-696. 2011. [DOI]

J. Llibre, A. Mahdi, J. Roé.
The geometry of the real planar polynomial differential systems having their orbits embedded in conics.
Dyn. Syst., 26(3), 287-321. 2011. [DOI]

E. Nart.
Okutsu-Montes representations of prime ideals of one-dimensional integral closures.
Publ. Mat., 55(2), 261-294. 2011. [DOI]

O. Demchenko, A. Gurevich, X. Xarles.
Formal completions of Néron models for algebraic tori.
Proc. Lond. Math. Soc. (3), 100(3), 607-638. 2010. [DOI]

J. Guàrdia, J. Montes, E. Nart.
Okutsu invariants and Newton polygons.
Acta Arith., 145(1), 83-108. 2010. [DOI]

F. Bars, I. Longhi.
Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules.
J. Number Theory, 129(4), 789-805. 2009. [DOI]

B. Harbourne, J. Roé.
Computing multi-point Seshadri constants on {$\bold p^2$}.
Bull. Belg. Math. Soc. Simon Stevin, 16(5, Linear systems and subschemes), 887-906. 2009.

E. W. Howe, E. Nart, C. Ritzenthaler.
Jacobians in isogeny classes of abelian surfaces over finite fields.
Ann. Inst. Fourier (Grenoble), 59(1), 239-289. 2009.

E. Nart.
Counting hyperelliptic curves.
Adv. Math., 221(3), 774-787. 2009. [DOI]

J. Roé, J. Ross.
An inequality between multipoint Seshadri constants.
Geom. Dedicata, 140, 175-181. 2009. [DOI]

F. Bars.
The group structure of the normalizer of {$\Gamma_0(N)$} after Atkin-Lehner.
Commun. Algebra, 36(6), 2160-2170. 2008. [DOI]

F. Bars.
Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields.
J. Algebra, 319(5), 1954-1970. 2008. [DOI]

P. L. Clark, X. Xarles.
Local bounds for torsion points on abelian varieties.
Canad. J. Math., 60(3), 532-555. 2008. [DOI]

I. Goldbring, M. Masdeu.
Bezout domains and elliptic curves.
Commun. Algebra, 36(12), 4492-4499. 2008. [DOI]

B. Harbourne, J. Roé.
Discrete behavior of Seshadri constants on surfaces.
J. Pure Appl. Algebra, 212(3), 616-627. 2008. [DOI]

E. W. Howe, D. Maisner, E. Nart, C. Ritzenthaler.
Principally polarizable isogeny classes of abelian surfaces over finite fields.
Math. Res. Lett., 15(1), 121-127. 2008. [DOI]

R. Martí, E. Nart.
Orbits of rational {$n$}-sets of projective spaces under the action of the linear group.
J. Combin. Theory Ser. A, 115(4), 547-568. 2008. [DOI]

E. Nart, C. Ritzenthaler.
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2.
Finite Fields Th. App., 14(3), 676-702. 2008. [DOI]

X. Xarles.
The {ABC}s of arithmetic.
Gac. R. Soc. Mat. Esp., 11(2), 291-308. 2008.

F. Bars.
On Jannsen's conjecture for Hecke characters of imaginary quadratic fields.
Publ. Mat., Proceedings of the Primeras Jornadas de Teor\'{\i}a de N\'{u}meros, 29-42. 2007. [DOI]

D. Maisner, E. Nart.
Zeta functions of supersingular curves of genus 2.
Canad. J. Math., 59(2), 372-392. 2007. [DOI]

W. Raskind, X. Xarles.
On the \'etale cohomology of algebraic varieties with totally degenerate reduction over {$p$}-adic fields.
J. Math. Sci.-U. Tokyo, 14(2), 261-291. 2007.

W. Raskind, X. Xarles.
On {$p$}-adic intermediate Jacobians.
Trans. Amer. Math. Soc., 359(12), 6057-6077. 2007. [DOI]

F. Bars, L. Dieulefait.
Galois actions on {$\bf q$}-curves and winding quotients.
Math. Z., 254(3), 531-538. 2006. [DOI]

E. Nart, C. Ritzenthaler.
Non-hyperelliptic curves of genus three over finite fields of characteristic two.
J. Number Theory, 116(2), 443-473. 2006. [DOI]

J. Roé.
Maximal rank for planar singularities of multiplicity 2.
J. Algebra, 302(1), 37-54. 2006. [DOI]

M. Alberich-Carramiñana, J. Roé.
Enriques diagrams and adjacency of planar curve singularities.
Canad. J. Math., 57(1), 3-16. 2005. [DOI]

G. Cardona, E. Nart, J. Pujolàs.
Curves of genus two over fields of even characteristic.
Math. Z., 250(1), 177-201. 2005. [DOI]

J. Lario, M. Masdeu.
A note on dihedral polynomials of prime degree.
Indian J. Pure Appl. Math., 36(6), 295-300. 2005.

X. Xarles.
The {$ABC$} of arithmetic.
Butl. Soc. Catalana Mat., 20(1), 53-66, 68. 2005.

F. Bars.
A relation between {$p$}-adic {$L$}-functions and the Tamagawa number conjecture for Hecke characters.
Arch. Math. (Basel), 83(4), 317-327. 2004. [DOI]

B. Harbourne, J. Roé.
Linear systems with multiple base points in {$\Bbb p^2$}.
Adv. Geom., 4(1), 41-59. 2004. [DOI]

R. Martí, E. Nart.
Isometry classes of codes arising from sets of points in the projective plane.
Eur. J. Combin., 25(7), 1003-1023. 2004. [DOI]

E. Nart, D. Sadornil.
Hyperelliptic curves of genus three over finite fields of even characteristic.
Finite Fields Th. App., 10(2), 198-220. 2004. [DOI]

J. Roé.
Varieties of clusters and Enriques diagrams.
Math. Proc. Cambridge Philos. Soc., 137(1), 69-94. 2004. [DOI]

J. Roé.
A relation between one-point and multi-point Seshadri constants.
J. Algebra, 274(2), 643-651. 2004. [DOI]

J. Roé.
On submaximal plane curves.
J. Pure Appl. Algebra, 189(1-3), 297-300. 2004. [DOI]

J. I. Burgos, X. Xarles.
Fields Medals.
Notícies SCM, 18, 28-31. 2003.

F. Bars.
On the Tamagawa number conjecture for {CM} elliptic curves defined over {$\Bbb q$}.
J. Number Theory, 95(2), 190-208. 2002.

A. López, D. Maisner, E. Nart, X. Xarles.
Orbits of Galois invariant {$n$}-sets of {$\Bbb p^1$} under the action of {${\rm pGL}_2$}.
Finite Fields Th. App., 8(2), 193-206. 2002. [DOI]

D. Maisner, E. Nart.
Abelian surfaces over finite fields as Jacobians.
Experiment. Math., 11(3), 321-337. 2002. (With an appendix by Everett W. Howe)

J. Roé.
Linear systems of plane curves with imposed multiple points.
Illinois J. Math., 45(3), 895-906. 2001.

J. Roé.
Conditions imposed by tacnodes and cusps.
Trans. Amer. Math. Soc., 353(12), 4925-4948. 2001. [DOI]

J. Roé.
On the existence of plane curves with imposed multiple points.
J. Pure Appl. Algebra, 156(1), 115-126. 2001. [DOI]

J. Roé, G. Zappalà, S. Baggio.
Linear systems of surfaces with double points: Terracini revisited.
In 269-280 (2003). 2001. (PRAGMATIC, 2001 (Catania))

F. Bars.
Bielliptic modular curves.
J. Number Theory, 76(1), 154-165. 1999. [DOI]

A. López, E. Nart.
Classification of Goppa codes of genus zero.
J. Reine Angew. Math., 517, 131-144. 1999. [DOI]

J. Roé.
An analytic invariant of ordinary curve singularities.
Proc. Amer. Math. Soc., 127(12), 3525-3526. 1999. [DOI]

S. Bosch, X. Xarles.
Component groups of Néron models via rigid uniformization.
Math. Ann., 306(3), 459-486. 1996. [DOI]

C. Deninger, E. Nart.
On {${\rm ext}^2$} of motives over arithmetic curves.
Amer. J. Math., 117(3), 601-625. 1995. [DOI]

E. Nart.
Arithmetic: at the gates of the Promised Land.
Butl. Soc. Catalana Mat., 9, 55-67. 1994.

E. Nart.
Formal group laws for certain formal groups arising from modular curves.
Compositio Math., 85(1), 109-119. 1993.

X. Xarles.
The scheme of connected components of the Néron model of an algebraic torus.
J. Reine Angew. Math., 437, 167-179. 1993. [DOI]

S. Comalada, E. Nart.
Modular invariant and good reduction of elliptic curves.
Math. Ann., 293(2), 331-342. 1992. [DOI]

J. Montes, E. Nart.
On a theorem of Ore.
J. Algebra, 146(2), 318-334. 1992. [DOI]

E. Nart.
The formal completion of the N\'eron model of {$J_0(p)$}.
Publ. Mat., 35(2), 537-542. 1991. [DOI]

E. Nart, X. Xarles.
Additive reduction of algebraic tori.
Arch. Math. (Basel), 57(5), 460-466. 1991. [DOI]

C. Deninger, E. Nart.
Formal groups and {$L$}-series.
Comment. Math. Helv., 65(2), 318-333. 1990. [DOI]

P. Bayer, E. Nart.
Zeta functions and genus of quadratic forms.
Enseignement Math. (2), 35(3-4), 263-287. 1989.

E. Nart.
The Bloch complex in codimension one and arithmetic duality.
J. Number Theory, 32(3), 321-331. 1989. [DOI]

E. Nart.
On the index of a number field.
Trans. Amer. Math. Soc., 289(1), 171-183. 1985. [DOI]

P. Llorente, E. Nart, N. Vila.
Discriminants of number fields defined by trinomials.
Acta Arith., 43(4), 367-373. 1984. [DOI]

P. Llorente, E. Nart.
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