Combinatorial Koszul Homology: Computations and Applications

Simple item page
dc.creatorSaenz-de-Cabezon, Eduardo
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:33Z
dc.date.available2026-07-07T09:24:33Z
dc.descriptionWith a particular focus on explicit computations and applications of the Koszul homology and Betti numbers of monomial ideals, the main goals of this thesis are the following: Analyze the Koszul homology of monomial ideals and apply it to describe the structure of monomial ideals. Describe algorithms to perform efficient computations of the homological invariants of monomial ideals. Apply the theory and computations on monomial ideals to problems inside and outside mathematics The thesis introduces as a main tool Mayer-Vietoris trees of monomial ideals.
dc.descriptionPhD Thesis
dc.identifierhttps://arxiv.org/abs/0803.0421
dc.identifierhttp://arxiv.org/abs/0803.0421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156137
dc.subjectCommutative Algebra
dc.subject13D02;13P10
dc.titleCombinatorial Koszul Homology: Computations and Applications
dc.typetext

Files

Collections

arXiv