Canonical Big Cohen-Macaulay algebras and rational singularities

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dc.creatorSchoutens, Hans
dc.date2002-06-24
dc.date2003-03-16
dc.date.accessioned2026-07-07T04:49:19Z
dc.date.available2026-07-07T04:49:19Z
dc.descriptionWe give a canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over $\mathbb C$ by taking ultraproducts of absolute integral closures in positive characteristic. This yields a new tight closure characterization of rational singularities in characteristic zero.
dc.descriptionThe second part of the previous version is taken out and is moved to the new paper math.AG/0303189
dc.identifierhttps://arxiv.org/abs/math/0206250
dc.identifierhttp://arxiv.org/abs/math/0206250
dc.identifierIllinois J. Math. 48 (2004), 131-150
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64380
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A35
dc.titleCanonical Big Cohen-Macaulay algebras and rational singularities
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