Canonical big Cohen-Macaulay algebras and rational singularities
Schoutens, Hans
Illinois J. Math., Tome 48 (2004) no. 3, p. 131-150 / Harvested from Project Euclid
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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.
Publié le : 2004-01-15
Classification:  13C14,  13A35,  14B05 
@article{1258136178,
     author = {Schoutens, Hans},
     title = {Canonical big Cohen-Macaulay algebras and rational singularities},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 131-150},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258136178}
}

Schoutens, Hans. Canonical big Cohen-Macaulay algebras and rational singularities. Illinois J. Math., Tome 48 (2004) no. 3, pp.  131-150. http://gdmltest.u-ga.fr/item/1258136178/