- idUS
- Listar por autor
Listar por autor "Rojas León, Antonio"
Mostrando ítems 1-20 de 31
-
Artículo
7o Congreso Europeo de Matemáticas
Rojas León, Antonio (Real Sociedad Matemática Española, 2016)La séptima edición del Congreso Europeo de Matemáticas, evento que tiene lugar cada cuatro años bajo los auspicios de la ...
-
Artículo
A rigid local system with monodromy group 2.J2
Katz, Nicholas M.; Rojas León, Antonio (Elsevier, 2019-05)We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric ...
-
Artículo
An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
Rojas León, Antonio (Springer, 2023-02-01)We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
-
Artículo
Continuous division of linear differential operators and faithful flatness of D∞X over DX
Narváez Macarro, Luis; Rojas León, Antonio (Société Mathématique de France, 2004)In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf ...
-
Tesis Doctoral
D-Módulos algebraicos y cohomología de familias de Dwork
Castaño Domínguez, Alberto (2014-07-15)Una familia de Dwork es una deformación monomial uniparamétrica de una hipersuperficie de Fermat. Debido a su conexión con ...
-
Artículo
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure
Ahmadi, Omran; McGuire, Gary; Rojas León, Antonio (Elsevier, 2015-11)We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a ...
-
Trabajo Fin de Grado
Dominios de Dedekind, factorización de ideales y aplicaciones
Daza García, Alberto (2018-06-20)In order to study some number theoretical problems, algebraic number fields and their ring of integers have being introduced. ...
-
Artículo
Estimates for exponential sums with a large automorphism group
Rojas León, Antonio (American Mathematical Society, 2012)We prove some improvements of the classical Weil bound for one variable additive and multiplicative character sums ...
-
Artículo
Estimates for singular multiplicative character sums
Rojas León, Antonio (Duke University Press, 2005)We give some estimates for multiplicative character sums on quasiprojective varieties over finite fields depending on the ...
-
Artículo
Explicit local multiplicative convolution of ℓ-adic sheaves
Rojas León, Antonio (European Mathematical Society, 2018)We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the ...
-
Trabajo Fin de Grado
Factorización de ideales y último teorema de Fermat
López Díaz-Jorge, Fernando (2022-06-15)The objective in the present work is to explain the proof of the famous Fermat’s Last Theorem in the particular case of ...
-
Artículo
Finite monodromy of some families of exponential sums
Rojas León, Antonio (Elsevier, 2019-04)Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the ...
-
Trabajo Fin de Máster
Funciones zeta de variedades sobre cuerpos finitos
Linares Torres, Javier (2020-06-01)La función zeta de una variedad sobre un cuerpo finito se define como la función generatriz asociada a la sucesión obtenida ...
-
Artículo
Improvements of the Weil bound for Artin-Schreier curves
Rojas León, Antonio; Wan, Daqing (Springer, 2011-10)For the Artin-Schreier curve y q − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for ...
-
Artículo
Katz-Radon transform of l-adic representations
Rojas León, Antonio (Duke University Press, 2012)We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of ...
-
Artículo
L-functions of symmetric powers of the generalized Airy family of exponential sums
Haessig, C. Douglas; Rojas León, Antonio (2011-12)This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the ...
-
Artículo
Local convolution of l-adic sheaves on the torus
Rojas León, Antonio (Springer, 2013-08)For K and L two l-adic perverse sheaves on the one-dimensional torus Gm,k¯ over the algebraic closure of a finite field, ...
-
Artículo
Mesa Redonda «Investigación: Presente y Futuro», Granada, 6 de febrero de 2015
Rodríguez Pérez, Magdalena; Rojas León, Antonio (Real Sociedad Matemática Española, 2015) -
Artículo
Moment zeta functions for toric Calabi-Yau hypersurfaces
Rojas León, Antonio; Wan, Daqing (International Press, 2007)Moment zeta functions provide a diophantineformulation for the distribution of rational points on afamily of algebraic ...
-
Trabajo Fin de Máster
Monodromy of local systems and applications to coding theory
García Cortés, Francisco (2023-11)The present work concerns the study of monodromy of ℓ-adic sheaves with an strong focus on computational matters. After ...