Heights of Ideals of Minors

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dc.creatorEisenbud, David
dc.creatorHuneke, Craig
dc.creatorUlrich, Bernd
dc.date2002-09-15
dc.date.accessioned2026-07-07T04:50:53Z
dc.date.available2026-07-07T04:50:53Z
dc.descriptionThe classical "generalized principal ideal theorems" of Macaulay, Eagon-Northcott, and others give sharp bounds on the heights of determinantal ideals in arbitrary rings. But in regular local rings (or graded polynomial rings) these are far from sharp, and various questions about vector bundles, as well as other questions in commutative algebra, amount to asking what the real bounds are. We give partial answers, and more generally we prove new height bounds in local rings of given embedding codimension. Our theorems extend and sharpen results of Faltings and Bruns.
dc.description21 pages, in AMS TeX
dc.identifierhttps://arxiv.org/abs/math/0209184
dc.identifierhttp://arxiv.org/abs/math/0209184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64953
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13C40, 13C15, 14M12
dc.titleHeights of Ideals of Minors
dc.typetext

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