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Listar Artículos (Álgebra) por autor "Narváez Macarro, Luis"
Mostrando ítems 1-20 de 28
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A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
Narváez Macarro, Luis (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 ...
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Algebraic computation of some intersection D-modules
Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (Springer, 2006)Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection ...
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Coefficient fields and scalar extension in positive characteristic
Fernández Lebrón, María Magdalena; Narváez Macarro, Luis (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 ...
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Cohomologie évanescente p-adique: calculs locaux
Gros, Michel; Narváez Macarro, Luis (Università di Padova, 2000) -
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Cohomology of the complement of a free divisor
Castro Jiménez, Francisco Jesús; Narváez Macarro, Luis; Mond, David (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, ...
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Conservation of the noetherianity by perfect transcendental field extensions
Fernández Lebrón, María Magdalena; Narváez Macarro, Luis (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.
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Continuous division of differential operators
Hauser, Herwig; Narváez Macarro, Luis (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, ...
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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 ...
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Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (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 ...
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En recuerdo de Alexander Grothendieck: prólogo para una lectura de su vida y obra
Narváez Macarro, Luis (Real Sociedad Matemática Española, 2017)En este artículo repasamos algunas de las claves de las contribuciones matemáticas de Alexander Grothendieck y del contexto ...
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Explicit models for perverse sheaves
Gudiel Rodríguez, Félix; Narváez Macarro, Luis (European Mathematical Society, 2003)We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ...
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Hasse-Schmidt derivations and coefficient fields in positive characteristics
Fernández Lebrón, María Magdalena; Narváez Macarro, Luis (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 ...
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Hasse-Schmidt derivations, divided powers and differential smoothness
Narváez Macarro, Luis (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. ...
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Higher derivations of modules and the Hasse-Schmidt module
Chiu, Christopher Heng; Narváez Macarro, Luis (Cornell University, 2020-07-28)In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex ...
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Hodge ideals of free divisors
Castaño Domínguez, Alberto; Narváez Macarro, Luis; Sevenheck, Christian (Springer, 2022-04-18)We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic ...
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Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels
Mebkhout, Zoghman; Narváez Macarro, Luis (De Gruyter, 1998)In this paper we prove the continuity of Weierstrass-Hironaka division of finite order linear differential operators over ...
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Le théorème du symbole total d’un opérateur différentiel p-adique
Mebkhout, Zoghman; Narváez Macarro, Luis (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 ...
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Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
Narváez Macarro, Luis (Cornell University, 2008-04-14)In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes ...
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Locally quasi-homogeneous free divisors are Koszul free
Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (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 ...
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Logarithmic cohomology of the complement of a plane curve
Calderón Moreno, Francisco Javier; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco Jesús (Springer, 2002-03)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 ...