Author profile: Narváez Macarro, Luis
Institutional data
Name | Narváez Macarro, Luis |
Department | Algebra |
Knowledge area | Álgebra |
Professional category | Catedrático de Universidad |
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Statistics
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No. publications
47
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No. visits
6494
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No. downloads
9278
Publications |
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Master's Final Project |
Article
![]() Hodge ideals of free divisors
(Springer, 2022)
We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic ... |
Master's Final Project
![]() Polinomio de Bernstein y singularidades aisladas de hipersuperficies complejas
(2021)
The main aim of this work is to present as precisely as possible the results obtained by B. Malgrange in his article “Le ... |
Master's Final Project
![]() Aspectos computacionales del Polinomio de Bernstein-Sato de una singularidad
(2021)
The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to ... |
Article
![]() On the bracket of integrable derivations
(Elsevier, 2021)
We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate ... |
Article
![]() Higher derivations of modules and the Hasse-Schmidt module
(Cornell University, 2020)
In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex ... |
Final Degree Project
![]() Una visión actual sobre los puntos singulares de una ecuación diferencial lineal en una variable compleja
(2020)
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)
The Bernstein-Sato polynomial or the 푏-function is an important invariant in singular theory. It is closely related to di ... |
Chapter of Book
![]() Hasse–Schmidt derivations versus classical derivations
(American Mathematical Society, 2020)
In this paper we survey the notion and basic results on multivariate Hasse–Schmidt derivations over arbitrary commutative ... |
Article
![]() Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations
(Elsevier, 2020)
Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of ... |
Article
![]() Tautological systems and free divisors
(Elsevier, 2019)
We introduce tautological systems defined by prehomogeneous actions of reductive algebraic groups. If the complement of ... |
PhD Thesis
![]() Leaps of the chain of m-integrable derivations in the sense of Hasse-Schmidt
(2019)
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)
Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll ... |
Chapter of Book
![]() On Hasse–Schmidt Derivations: The Action of Substitution Maps
(Springer, 2018)
We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations. |
Final Degree Project
![]() Teoría de representaciones de grupos finitos
(2018)
The main purpose of the Theory of Representations of finite groups is the description and classification the different ... |
Article
![]() Primer Encuentro Conjunto RSME-UMA, Buenos Aires, 11 a 15 de diciembre de 2017
(Real Sociedad Matemática Española, 2018)
En la semana del lunes 11 al viernes 15 de diciembre de 2017 se llevó a cabo en Buenos Aires el Primer Encuentro Conjunto ... |
Master's Final Project
![]() Clasificación de conexiones meromorfas formales en una variable
(2017)
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)
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)
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)
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)
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)
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)
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)
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)
Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. ... |
Article
![]() Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008)
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes ... |
PhD Thesis |
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 ... |
Article
![]() Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005)
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)
|
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
![]() 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 ... |
Article
![]() The local duality theorem in D-module theory
(Société Mathématique de France, 2004)
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)
We show how to express any Hasse-Schmidt derivation of an algebra in terms of a finite number of them under natural ... |
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 ... |
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
![]() The module Dfs for locally quasi-homogeneous free divisors
(Springer, 2002)
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)
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)
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)
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)
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)
|
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
![]() Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels
(De Gruyter, 1998)
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)
En esta memoria estudiamos la V-filtración relativa a divisores libres en una variedad analítica compleja lisa de dimensión ... |
Article
![]() Cohomology of the complement of a free divisor
(American Mathematical Society, 1996)
We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, then ... |
PhD Thesis
![]() Sistemas holónomos regulares y haces perversos cuyo soporte singular es el germen de una curva plana irreducible
(1984)
En esta memoria, damos una descripción explícita de los sistemas holónomos regulares y de los haces perversos (cf. I.3.10 ... |