Restricting linear syzygies: algebra and geometry

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dc.creatorEisenbud, David
dc.creatorGreen, Mark
dc.creatorHulek, Klaus
dc.creatorPopescu, Sorin
dc.date2004-04-28
dc.date.accessioned2026-07-07T05:07:47Z
dc.date.available2026-07-07T05:07:47Z
dc.descriptionIn this paper we derive geometric consequences from the presence of a long strand of linear syzygies in the minimal free resolution of a closed scheme in projective space whose homogeneous ideal is generated by quadrics. These consequences are given in terms of intersections with arbitrary linear subspaces. We use our results to bound homological invariants of some well-known projective varieties, to give a combinatorial characterization of quadratic monomial ideals with a long strand of linear syzygies, etc
dc.description26 pages, Plain TeX + diagrams.tex
dc.identifierhttps://arxiv.org/abs/math/0404516
dc.identifierhttp://arxiv.org/abs/math/0404516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70998
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject14N05, 13D02, 14M17
dc.titleRestricting linear syzygies: algebra and geometry
dc.typetext

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