Author profile: Narváez Macarro, Luis
Data
| Name | Narváez Macarro, Luis |
| Department | Algebra |
| Knowledge area | Álgebra |
| Professional category | Catedrático de Universidad |
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35
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6289
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Final Degree Project
 Una visión actual sobre los puntos singulares de una ecuación diferencial lineal en una variable compleja
(2020-06-19)
El objetivo principal de este trabajo es introducirse en el uso de técnicas algebraicas y topológicas modernas, como el ... |
Final Degree Project
El Polinomio de Bernstein-Sato de una singularidad
(2020-06-18)
The Bernstein-Sato polynomial or the 푏-function is an important invariant in singular theory. It is closely related to di ... |
PhD Thesis
Leaps of the chain of m-integrable derivations in the sense of Hasse-Schmidt
(2019-05-02)
Sea k un anillo conmutativo. Los módulos de las k-derivaciones m-integrables (en el sentido de Hasse-Schmidt) de una ... |
Final Degree Project
Curvas elípticas y el Teorema de Mordell
(2019-01-01)
Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll ... |
Article
Primer Encuentro Conjunto RSME-UMA, Buenos Aires, 11 a 15 de diciembre de 2017
(Real Sociedad Matemática Española, 2018-01-01)
En la semana del lunes 11 al viernes 15 de diciembre de 2017 se llevó a cabo en Buenos Aires el Primer Encuentro Conjunto ... |
Final Degree Project
Teoría de representaciones de grupos finitos
(2018-01-01)
The main purpose of the Theory of Representations of finite groups is the description and classification the different ... |
Master's Final Project
Clasificación de conexiones meromorfas formales en una variable
(2017-06-01)
The study of systems of linear differential equations is, since its inception during the XV IIth century, a core and rich ... |
Article
En recuerdo de Alexander Grothendieck: prólogo para una lectura de su vida y obra
(Real Sociedad Matemática Española, 2017-01-01)
En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto ... |
Final Degree Project
Teoría de haces
(2016-06-20)
La creación de la teoría de haces en plena Segunda Guerra Mundial, unida a su difusión en los años inmediatamente posteriores, ... |
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 a ... |
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 ... |
Article
On the modules of m-integrable derivations in non-zero characteristic
(Elsevier, 2012-03-20)
Let k be a commutative ring and A a commutative k-algebra. Given a positive integer m, or m = ∞, we say that a k-linear ... |
Article
Le théorème du symbole total d’un opérateur différentiel p-adique
(Consejo Superior de Investigaciones Científicas, 2010-01-01)
Let X † be a smooth †-scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics ... |
Article
On the logarithmic comparison theorem for integrable logarithmic connections
(London Mathematical Society, 2009-01-01)
Let X be a complex analytic manifold, D ⊂ X a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous ... |
Article
Hasse-Schmidt derivations, divided powers and differential smoothness
(Association des Annales de l'Institut Fourier, 2009-01-01)
Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. ... |
PhD Thesis
Categorías de descenso simplicial
(2007-12-19)
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Article
Algebraic computation of some intersection D-modules
(Springer, 2006-01-01)
Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection ... |
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 ... |
Chapter of Book
La Geometría Algebraica: punto de encuentro de las Matemáticas
(Real Academia Sevillana de Ciencias, 2005-01-01)
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Article
Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
(Association des Annales de l'Institut Fourier, 2005-01-01)
Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be ... |
Article
Continuous division of linear differential operators and faithful flatness of D∞X over DX
(Société Mathématique de France, 2004-01-01)
In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf ... |
Article
The local duality theorem in D-module theory
(Société Mathématique de France, 2004-01-01)
These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier ... |
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 ... |
Article
Conservation of the noetherianity by perfect transcendental field extensions
(European Mathematical Society, 2003-01-01)
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
Explicit models for perverse sheaves
(European Mathematical Society, 2003-01-01)
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ... |
Article
The module Dfs for locally quasi-homogeneous free divisors
(Springer, 2002-10-01)
We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally ... |
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 ... |
Article
Logarithmic cohomology of the complement of a plane curve
(Springer, 2002-03-01)
Let D, x be a plane curve germ. We prove that the complex Ω•(log D)x computes the cohomology of the complement of D, x ... |
Article
Locally quasi-homogeneous free divisors are Koszul free
(MAIK Nauka/Interperiodica, 2002-01-01)
Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic ... |
Article
Continuous division of differential operators
(Association des Annales de l'Institut Fourier, 2001-01-01)
In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, ... |
Article
Cohomologie évanescente p-adique: calculs locaux
(Università di Padova, 2000-01-01)
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PhD Thesis
Descripción explícita de t-estructuras sobre espacios estratificados
(2000-01-01)
"En el presenta trabajo abordamos la cuestión anterior de la descripción de las categorías de haces perversos desde un ... |
Article
Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels
(De Gruyter, 1998-01-01)
In this paper we prove the continuity of Weierstrass-Hironaka division of finite order linear differential operators over ... |
PhD Thesis
Operadores diferenciales logarítmicos con respecto a un divisor libre
(1997-01-01)
En esta memoria estudiamos la V-filtración relativa a divisores libres en una variedad analítica compleja lisa de dimensión ... |
PhD Thesis
Sistemas holónomos regulares y haces perversos cuyo soporte singular es el germen de una curva plana irreducible
(1984-01-01)
En esta memoria, damos una descripción explícita de los sistemas holónomos regulares y de los haces perversos (cf. I.3.10 ... |