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Dipòsit Digital de Documents de la UAB 8 registres trobats  La cerca s'ha fet en 0.01 segons. 
1.
11 p, 468.8 KB Bielliptic Modular Curves / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
1999 - 10.1006/jnth.1998.2343
Journal of Number Theory, Vol. 76, Issue 1 (May 1999) , p. 154-165  
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2.
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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3.
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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4.
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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5.
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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6.
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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7.
18 p, 380.3 KB Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (National Taiwan University. Department of Mathematics (Taiwan))
We introduce the formalism of Coleman's power series for rank 1 Drinfeld modules and apply it to formulate and prove the analogue of Wiles' explicit reciprocity law in this setting.
2009 - 10.1016/j.jnt.2008.12.005
Journal of Number Theory, Vol. 129, Issue 4 (April 2009) , p. 789-805  
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8.
14 p, 588.1 KB Bielliptic smooth plane curves and quadratic points / Badr, Eslam (Cairo University. Department of Mathematics (Egypt)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let Ck be a smooth plane curve of degree d ≥ 4 defined over a global field k of characteristic p = 0 or p > (d-1)(d-2)/2 (up to an extra condition on Jac(Ck)). Unless the curve is bielliptic of degree four, we observe that it always admits finitely many quadratic points. [...]
2021 - 10.1142/S1793042121500238
International Journal of Number Theory, Vol. 17, Issue 4 (May 2021) , p. 1047-1066  
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