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Título:	D-modules, Bernstein-Sato polynomials and F-invariants of direct summands
Autor/a:	Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We show that the localization R f and the local cohomology module H i I ( R ) have finite length as D -modules over R . Furthermore, we show the existence of the Bernstein-Sato polynomial for elements in R . In positive characteristic, we use this relation between D -modules over R and S to show that the set of F -jumping numbers of an ideal I ¿ R is contained in the set of F -jumping numbers of its extension in S . As a consequence, the F -jumping numbers of I in R form a
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Algebraic geometry -Commutative algebra -Rings (Algebra) -D-modules -Bernstein–Sato polynomial -Direct summands -Local cohomology -F-jumping numbers -Test ideals -Anells (Àlgebra) -Geometria algebraica -Àlgebra commutativa -Classificació AMS::14 Algebraic geometry::14F (Co)homology theory -Classificació AMS::13 Commutative rings and algebras::13N Differential algebra -Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory -Classificació AMS::16 Associative rings and algebras::16S Rings and algebras arising under various constructions
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
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