Taylor and Lyubeznik Resolutions via Grobner Bases

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dc.creatorSeiler, Werner M.
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:50:29Z
dc.date.available2026-07-07T04:50:29Z
dc.descriptionTaylor presented an explicit resolution for arbitrary monomial ideals. Later, Lyubeznik found that already a subcomplex defines a resolution. We show that the Taylor resolution may be obtained by repeated application of the Schreyer Theorem from the theory of Grobner bases, whereas the Lyubeznik resolution is a consequence of Buchberger's chain criterion. Finally, we relate Froberg's contracting homotopy for the Taylor complex to normal forms with respect to our Grobner bases and use it to derive a splitting homotopy that leads to the Lyubeznik complex.
dc.description14 pages, to appear in Journal of Symbolic Computation
dc.identifierhttps://arxiv.org/abs/math/0208246
dc.identifierhttp://arxiv.org/abs/math/0208246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64810
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13P10
dc.titleTaylor and Lyubeznik Resolutions via Grobner Bases
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