Stanley-Reisner rings and torus actions

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dc.creatorPanov, Taras E.
dc.date2003-03-13
dc.date.accessioned2026-07-07T04:56:01Z
dc.date.available2026-07-07T04:56:01Z
dc.descriptionWe review a class of problems on the borders of topology of torus actions, commutative homological algebra and combinatorial geometry, which is currently being investigated by Victor Buchstaber and the author. The text builds on the lectures delivered on the transformation group courses in Osaka City University and Universitat Autonoma de Barcelona. We start with discussing several well-known results and problems on combinatorial geometry of polytopes and simplicial complexes, and then move gradually towards investigating the combinatorial structures associated with spaces acted on by the torus. Parallelly, we set up the required commutative algebra apparatus, including Cohen-Macaulay/Gorenstein rings and Stanley-Reisner face rings of simplicial complexes.
dc.description28 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0303164
dc.identifierhttp://arxiv.org/abs/math/0303164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66781
dc.subjectAlgebraic Topology
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13F55; 55T20; 57N65; 57R19; 57R91
dc.titleStanley-Reisner rings and torus actions
dc.typetext

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