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Artículos Encontrados 31 registros  anterior11 - 20siguientefinal  ir al registro: La búsqueda tardó 0.01 segundos. 
11.
8 p, 461.6 KB The Picard group of Brauer-Severi varieties / Badr, Eslam (Cairo University. Department of Mathematics (Egypt)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lorenzo García, Elisa (Université de Rennes 1. Institut de Recherche Mathématique de Rennes (France))
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, we provide such generators for all Brauer-Severi surfaces. [...]
2018 - 10.1515/math-2018-0101
Open Mathematics, Vol. 16, Issue 1 (January 2018) , p. 1196-1203  
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12.
21 p, 511.5 KB Bielliptic quotient modular curves with N square-free / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Kamel, Mohamed (Cairo University. Department of Mathematics (Egypt))
Let N ≥ 1 be an square free integer and let WN be a non-trivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)/WN has genus at least two. We determine all pairs (N,WN) such that X0(N)/WN is a bielliptic curve and the pairs (N,WN) such that X0(N)/WN has an infinite number of quadratic points over Q.
2020 - 10.1016/j.jnt.2020.03.010
Journal of Number Theory, Vol. 216 (November 2020) , p. 380-402  
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13.
5 p, 252.3 KB Plane model-fields of definition, fields of definition, and the field of moduli for smooth plane curves / Badr, Eslam (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let C/k‾ be a smooth plane curve defined over k‾ a fixed algebraic closure of a perfect field k. We call a subfield k' ⊆ k‾ a plane model-field of definition for C if C descends to k' as a smooth plane curve over k', that is if there exists a smooth curve C'/k' defined over k' which is k'-isomorphic to a non-singular plane model F(X,Y,Z) = 0 with coefficients in k', and such that C'⊗k'k‾ and C are isomorphic. [...]
2019 - 10.1016/j.jnt.2018.07.010
Journal of Number Theory, Vol. 194 (January 2019) , p. 278-283  
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14.
16 p, 417.5 KB Hyperelliptic parametrizations of Q -curves / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Xarles, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For a square-free integer N, we present a procedure to compute Q-curves parametrized by rational points of the modular curve X0∗(N) when this is hyperelliptic.
2020 - 10.1007/s11139-020-00281-y
Ramanujan Journal, (July 2020)  
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15.
12 p, 270.0 KB Characteristic ideals and Selmer groups / Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University)
Let A be an abelian variety defined over a global field F of positive characteristic p and let F/F be a ZpN-extension, unramified outside a finite set of places of F. Assuming that all ramified places are totally ramified, we define a pro-characteristic ideal associated to the Pontrjagin dual of the p-primary Selmer group of A. [...]
2015 - 10.1016/j.jnt.2015.05.011
Journal of Number Theory, Vol. 157 (December 2015) , p. 530-546  
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16.
16 p, 307.2 KB On the locus of smooth plane curves with a fixed automorphism group / Badr, Eslam (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero characteristic. Denote by Mg(G) the subset of Mg of curves δ such that G (as a finite non-trivial group) is isomorphic to a subgroup of Aut(δ), the full automorphism group of δ, and let Mg(G) ~ be the subset of curves δ such that G≅ Aut (δ). [...]
2016 - 10.1007/s00009-016-0705-9
Mediterranean Journal of Mathematics, Vol. 13, Issue 5 (October 2016) , p. 3605-3627  
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17.
12 p, 487.9 KB On the Tamagawa number conjecture for CM elliptic curves defined over ℚ / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we prove, under the assumption that the Soulé regulator map is injective, that, for all integers k≥0, the description by the local Tamagawa number conjecture for CM elliptic curves defined over ℚ, corresponding to the values of their L-functions at k + 2, is true.
2002 - 10.1006/jnth.2002.2776
Journal of Number Theory, Vol. 95, Issue 2 (August 2002) , p. 190-208  
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18.
17 p, 501.3 KB Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions / Bandini, Andrea (Università di Pisa. Dipartimento di Matematica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Coscelli, Edoardo (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We generalize some results of Greither and Popescu to a geometric Galois cover X → Y which appears naturally for example in extensions generated by pn-torsion points of a rank 1 normalized Drinfeld module (i. [...]
2019 - 10.1016/j.jnt.2018.12.010
Journal of Number Theory, (January 2019)  
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19.
36 p, 438.1 KB Iwasawa main conjecture for the Carlitz cyclotomic extension and applications / Anglès, Bruno (Université de Caen. Laboratoire de Mathématiques Nicolas Oresme (France)) ; Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (Xi'an Jiaotong-Liverpool University. Department of Mathematical Sciences (China))
We prove an Iwasawa Main Conjecture for the class group of the p-cyclotomic extension F of the function field Fq(θ) (p is a prime of Fq[θ]), showing that its Fitting ideal is generated by a Stickelberger element. [...]
2020 - 10.1007/s00208-019-01875-8
Mathematische Annalen, Vol. 376, Issue 1-2 (February 2020) , p. 475-523  
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20.
17 p, 405.8 KB Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associated to the Hecke character has good reduction at the primes above p in K. [...]
2008 - 10.1016/j.jalgebra.2007.11.001
Journal of Algebra, Vol. 319, Issue 5 (March 2008) , p. 1954-1970  
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Artículos : Encontrados 31 registros   anterior11 - 20siguientefinal  ir al registro:
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