Canonical Big Cohen-Macaulay algebras and rational singularities

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We 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.
The second part of the previous version is taken out and is moved to the new paper math.AG/0303189

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Commutative Algebra, Algebraic Geometry, 13A35

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http://salesiana.dossiersoluciones.com/handle/123456789/64380

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206250
 http://arxiv.org/abs/math/0206250
 Illinois J. Math. 48 (2004), 131-150

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arXiv