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Title:	Lyubeznik numbers of local rings and linear strands of graded ideals
Author:	Álvarez Montaner, Josep; Yanagawa, Kohji
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	n this work we intro duce a new set of invariants asso ciated to the linear strands of a minimal free resolution of a Z -graded ideal I R = | [ x 1 ;:::;x n ] . We also prove that these invariants satisfy some prop erties analogous to those of Lyub eznik numb ers of lo cal rings. In particular, they satisfy a consecutiveness prop erty that we prove rst for Lyub eznik numb ers. For the case of squarefree monomial ideals we get more insight on the relation b etween Lyub eznik numb ers and the linear strands of their asso ciated Alexander dual ideals. Finally, we prove that Lyub eznik numb ers of Stanley- Reisner rings are not only an algebraic invariant but also a top ological invariant, meaning that they dep end on the homeomorphic class of the geometric realization of the asso ciated simplicial complex and the characteristic of the base field
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Local rings -Anells locals
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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