22 citations · 55 across the 12 of their papers we have counts for
12 papers
Computations on Modular Jacobian Surfaces
Enrique González-Jiménez, Josep González, Jordi Guàrdia
We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties attached by Shimura to normalized newforms . We pr…
Functions and differentials on the non-split Cartan modular curve of level 11
Julio Fernández, Josep González
The genus modular curve attached to a non-split Cartan group of level admits a model defined over . We compute generators for its function field i…
Cox rings and pseudoeffective cones of projectivized toric vector bundles
Jose Gonzalez, Milena Hering, Sam Payne +1
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple. For these proj…
Cropping Euler factors of modular L-functions
J. Gonzalez, J. Jimenez, J. -C. Lario
According to the Birch and Swinnerton-Dyer conjectures, if A/Q is an abelian variety then its L-function must capture substantial part of the arithmetic properties of A. The smalle…
Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves)
Josep Gonzalez, Joan-C. Lario
For every normalized newform f in S_2(Gamma_1(N)) with complex multiplication, we study the modular parametrizations of elliptic curves C from the abelian variety A_f. We apply the…
Genus two curves with quaternionic multiplication and modular jacobian
Josep Gonzalez, Jordi Guardia
We describe a method to determine all the isomorphism classes of principal polarizations of the modular abelian surfaces with quaternionic multiplication attached to a normal…