Browsing by Author "Narváez Macarro, Luis"
Now showing items 1-20 of 47
-
Article
A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
(Elsevier, 2015-08-20)In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the D[s]-module D[s]h s admits ...
-
Article
Algebraic computation of some intersection D-modules
(Springer, 2006)Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection ...
-
Master's Final Project
Aspectos computacionales del Polinomio de Bernstein-Sato de una singularidad
(2021-06-02)The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to ...
-
PhD Thesis
Categorías de descenso simplicial
(2007-12-19) -
Master's Final Project
Clasificación de conexiones meromorfas formales en una variable
(2017-06)The study of systems of linear differential equations is, since its inception during the XV IIth century, a core and rich ...
-
Article
Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005-03-15)Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We ...
-
Article
Cohomologie évanescente p-adique: calculs locaux
(Università di Padova, 2000) -
Article
Cohomology of the complement of a free divisor
(American Mathematical Society, 1996-08)We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, ...
-
Article
Conservation of the noetherianity by perfect transcendental field extensions
(European Mathematical Society, 2003)Let k be a perfect field of characteristic p>0, k(t)per the perfect closure of k(t) and A a k-algebra. We characterize whether the ring A⊗kk(t)per is noetherian when A is the ring of formal power series in n indeterminates over k.
-
Article
Continuous division of differential operators
(Association des Annales de l'Institut Fourier, 2001)In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, ...
-
Article
Continuous division of linear differential operators and faithful flatness of D∞X over DX
(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 ...
-
Final Degree Project
Curvas elípticas y el Teorema de Mordell
(2019)Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll ...
-
PhD Thesis
D-Módulos algebraicos y cohomología de familias de Dwork
(2014-07-15)Una familia de Dwork es una deformación monomial uniparamétrica de una hipersuperficie de Fermat. Debido a su conexión con ...
-
PhD Thesis
Derivaciones de Hasse-Schmidt, cuerpos de coeficientes y extensión de escalares en característica positiva
(2002-03-08)Una de las diferencias más notables entre el Álgebra de característica positiva y el Álgebra de característica cero radica ...
-
PhD Thesis
Descripción explícita de t-estructuras sobre espacios estratificados
(2000)"En el presenta trabajo abordamos la cuestión anterior de la descripción de las categorías de haces perversos desde un ...
-
Article
Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
(Association des Annales de l'Institut Fourier, 2005)Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be ...
-
Article
En recuerdo de Alexander Grothendieck: prólogo para una lectura de su vida y obra
(Real Sociedad Matemática Española, 2017)En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto ...
-
Article
Explicit models for perverse sheaves
(European Mathematical Society, 2003)We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ...
-
Chapter of Book
La Geometría Algebraica: punto de encuentro de las Matemáticas
(Real Academia Sevillana de Ciencias, 2005) -
Article
Hasse-Schmidt derivations and coefficient fields in positive characteristics
(Elsevier, 2003-07-01)We show how to express any Hasse-Schmidt derivation of an algebra in terms of a finite number of them under natural ...