Cyclic covers of rings with rational singularities

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dc.creatorSingh, Anurag K.
dc.date2002-08-29
dc.date.accessioned2026-07-07T04:50:26Z
dc.date.available2026-07-07T04:50:26Z
dc.descriptionWe examine some recent work of Phillip Griffith on étale covers and fibered products from the point of view of tight closure theory. While it is known that cyclic covers of Gorenstein rings with rational singularities are Cohen-Macaulay, we show this is not true in general in the absence of the Gorenstein hypothesis. Specifically, we show that the canonical cover of a $\mathbb Q$-Gorenstein ring with rational singularities need not be Cohen-Macaulay.
dc.identifierhttps://arxiv.org/abs/math/0208226
dc.identifierhttp://arxiv.org/abs/math/0208226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64795
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A35; 13A02
dc.titleCyclic covers of rings with rational singularities
dc.typetext

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