Characteristic cycles of local cohomology modules of monomial ideals

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/842

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Álvarez Montaner, Josep
dc.date	1998
dc.identifier.uri	http://hdl.handle.net/2117/842
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Algebra, Homological
dc.subject	local cohomology
dc.subject	Homologia, Teoria d'
dc.subject	Classificació AMS::13 Commutative rings and algebras::13D Homological methods
dc.title	Characteristic cycles of local cohomology modules of monomial ideals
dc.type	info:eu-repo/semantics/article
dc.description.abstract	By using the theory of D-modules we express the characteristic cycle of a local cohomology module supported on a monomial ideal in terms of conormal bundles relative to a subvariety. As a consequence we can decide when a given local cohomology module vanishes and compute the cohomological dimension in terms of the minimal primary decomposition. We can also give a Cohen-Macualayness criterion for the quotient of a polynomial ring by a monomial ideal and compute its Lyubeznik numbers.