Bezout's theorem and Cohen-Macaulay modules

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dc.creatorMigliore, J.
dc.creatorNagel, U.
dc.creatorPeterson, C.
dc.date1999-07-12
dc.date.accessioned2026-07-07T05:29:52Z
dc.date.available2026-07-07T05:29:52Z
dc.descriptionWe define very proper intersections of modules and projective subschemes. It turns out that equidimensional locally Cohen-Macaulay modules intersect very properly if and only if they intersect properly. We prove a Bezout theorem for modules which meet very properly. Furthermore, we show for equidimensional subschemes $X$ and $Y$: If they intersect properly in an arithmetically Cohen-Macaulay subscheme of positive dimension then $X$ and $Y$ are arithmetically Cohen-Macaulay. The module version of this result implies splitting criteria for reflexive sheaves.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/9907074
dc.identifierhttp://arxiv.org/abs/math/9907074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78809
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleBezout's theorem and Cohen-Macaulay modules
dc.typetext

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