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Absolute integral closures are big Cohen-Macaulay algebras in characteristic $P$
Author(s):
Melvin
Hochster;
Craig
Huneke
Journal:
Bull. Amer. Math. Soc.
24
(1991),
137-143.
MSC (1985):
Primary 13B20, 13H99, 13C99
MathSciNet review:
1056558
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References:
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- [Bou] J.-F. Boutot, Singularités rationelles et quotients par les groupes réductifs, Invent. Math. 88 (1987), 65-68. MR 877006
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- [Ho2] M. Hochster, Topics in the homological theory of modules over commutative rings, CBMS Regional Conf. Ser. in Math., no. 24, Amer. Math. Soc. Providence, R.I., 1975. MR 371879
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- [HH2] M. Hochster and C. Huneke, Tight closure and strong F-regularity, Mém. Soc. Math, de France numéro consacré au colloque en l'honneur de P. Samuel, Mémoire n 38 (1989), 119-133. MR 1044348
- [HH3] M. Hochster and C. Huneke, Tight closure, invariant theory, and the Briançon-Skoda theorem, J. Amer. Math. Soc. 3 (1990), 31-116. MR 1017784
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- [HH5] M. Hochster and C. Huneke, F-regularity, test elements, and smooth base change (in preparation).
- [HH6] M. Hochster and C. Huneke, Tight closures of parameter ideals and splitting in module-finite extensions (in preparation).
- [HH7] M. Hochster and C. Huneke, Tight closure in characteristic zero (in preparation).
- [HH8] M. Hochster and C. Huneke, Infinite integral extensions and big Cohen-Macaulay algebras, preprint. MR 1147957
- [HH9] M. Hochster and C. Huneke, Applications of the Cohen-Macaulay property for absolute integral closures (in preparation).
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- [Ro] P. Roberts, Two applications of dualizing complexes over local rings, Ann. Sci. École Norm. Sup. 9 (1976), 103-106. MR 399075
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Additional Information:
DOI:
10.1090/S0273-0979-1991-15970-7
PII:
S 0273-0979(1991)15970-7
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