Search Results - "Macarro, Luis Narváez"
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A duality approach to the symmetry of Bernstein–Sato polynomials of free divisors
Published in Advances in mathematics (New York. 1965) (01-08-2015)“…In this paper we prove that the Bernstein–Sato polynomial of any free divisor for which the D[s]-module D[s]hs admits a Spencer logarithmic resolution…”
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Hasse–Schmidt modules versus integrable connections
Published in Revista matemática complutense (2021)“…We prove that, in characteristic 0, any Hasse–Schmidt module structure can be recovered from its underlying integrable connection, and consequently…”
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Hodge ideals of free divisors
Published in Selecta mathematica (Basel, Switzerland) (01-07-2022)“…We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the…”
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Finiteness of leaps in the sense of Hasse-Schmidt of unibranch curves in positive characteristic
Published in Advances in mathematics (New York. 1965) (01-02-2024)Get full text
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HASSE-SCHMIDT DERIVATIONS, DIVIDED POWERS AND DIFFERENTIAL SMOOTHNESS
Published in Annales de l'Institut Fourier (2009)Get full text
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Higher Derivations of Modules and the Hasse–Schmidt Module
Published in The Michigan mathematical journal (01-07-2023)Get full text
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Cohomology of the complement of a free divisor
Published in Transactions of the American Mathematical Society (01-08-1996)“…We prove that if D is a ``strongly quasihomogeneous" free divisor in the Stein manifold X, and U is its complement, then the de Rham cohomology of U can be…”
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On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
Published 18-08-2023“…Rev. Mat. Complut., Online first (2023) Given two holomorphic functions $f$ and $g$ defined in two respective germs of complex analytic manifolds $(X,x)$ and…”
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Hodge ideals of free divisors
Published 22-04-2022“…Sel. Math. New Ser. 28, 57 (2022) We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic…”
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On the modules of m-integrable derivations in non-zero characteristic
Published in Advances in mathematics (New York. 1965) (20-03-2012)“…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 derivation δ of A is m-integrable if it…”
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On the bracket of integrable derivations
Published in Journal of algebra (15-05-2021)“…We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse–Schmidt derivations. As a…”
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A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
Published 25-06-2015“…Advances in Mathematics 281 (2015) 1242-1273 In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the $D[s]$-module $D[s]…”
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A Note on the Behaviour Under a Ground Field Extension of Quasicoefficient Fields
Published in Journal of the London Mathematical Society (01-02-1991)Get full text
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Higher derivations of modules and the Hasse-Schmidt module
Published 28-07-2020“…In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of…”
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On Hasse--Schmidt derivations: the action of substitution maps
Published 19-09-2018“…In: Greuel G.-M. (ed.) et al., Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics. Festschrift for Antonio Campillo on the Occasion of…”
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Logarithmic Comparison Theorems
Published 09-03-2023“…In this paper we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus on the case…”
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Tautological systems and free divisors
Published 05-05-2018“…Advances in Mathematics 352 (2019) 372--405 We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement…”
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On the bracket of integrable derivations
Published 17-07-2021“…Journal of Algebra 574 (2021) 70-91 We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate…”
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On the modules of m-integrable derivations in non-zero characteristic
Published 22-03-2012“…Advances in Mathematics 229 (5) (2012), 2712--2740 Let $k$ be a commutative ring and $A$ a commutative $k$-algebra. Given a positive integer $m$, or…”
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Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux diviseurs libres
Published in Annales de l'Institut Fourier (2005)Get full text
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