A linear bound for Frobenius powers and an inclusion bound for tight closure

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dc.creatorBrenner, Holger
dc.date2004-05-24
dc.date2005-01-27
dc.date.accessioned2026-07-07T05:08:33Z
dc.date.available2026-07-07T05:08:33Z
dc.descriptionLet I denote an R_+ -primary homogeneous ideal in a normal standard-graded Cohen-Macaulay domain over a field of positive characteristic p. We give a linear degree bound for the Frobenius powers I^[q] of I, q=p^e, in terms of the minimal slope of the top-dimensional syzygy bundle on the projective variety Proj R. This provides an inclusion bound for tight closure. In the same manner we give a linear bound for the Castelnuovo-Mumford regularity of the Frobenius powers I^[q].
dc.descriptionSome minor changes and some examples added; to appear in Mich. Math. Journal
dc.identifierhttps://arxiv.org/abs/math/0405463
dc.identifierhttp://arxiv.org/abs/math/0405463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71306
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A35; 13D02; 14J60
dc.titleA linear bound for Frobenius powers and an inclusion bound for tight closure
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