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Tightly closed ideals
Author(s):
Melvin
Hochster;
Craig
Huneke
Journal:
Bull. Amer. Math. Soc.
18
(1988),
45-48.
MSC (1980):
Primary 13C99
MathSciNet review:
919658
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References |
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Additional information
References:
- [B] J.-F. Boutot, Singularités rationelles et quotients par les groupes réductifs, Invent. Math. 88 (1987), 65-68. MR 877006
- [BrS] J. Briançon and H. Skoda, Sur la clôture intégrale d'un idéal de germes de fonctions holomorphes en un point de C, C.R. Acad. Sci. Paris Sér. A 278 (1974), 949-951. MR 340642
- [GR] H. Grauert and O. Riemenschneider, Verschwindungsätze für analytische kohomolo-giegruppen auf komplexen Räumen, Invent. Math. 11 (1970), 263-290. MR 302938
- [H1] M. Hochster, Topics in the homological theory of modules over commutative rings, C.B.M.S. Regional Conf. Ser. in Math., No. 24, Amer. Math. Soc., Providence, R.I., 1975. MR 371879
- [H2] M. Hochster, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra 84 (1983), 503-553. MR 723406
- [HH] M. Hochster and C. Huneke, Tight closures, invariant theory, and the Briançon-Skoda Theorem, in preparation.
- [HR1] M. Hochster and J. L. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. in Math. 13 (1974), 115-175. MR 347810
- [HR2] M. Hochster and J. L. Roberts, The purity of the Frobenius and local cohomology, Adv. in Math. 21 (1976), 117-172. MR 417172
- [K] G. Kempf, The Hochster-Roberts theorem of invariant theory, Michigan Math. J. 26 (1979), 19-32. MR 514958
- [LS] J. Lipman and A. Sathaye, Jacobian ideals and a theorem of Briançon-Skoda, Michigan Math. J. 28 (1981), 199-222. MR 616270
- [LT] J. Lipman and B. Teissier, Pseudo-rational local rings and a theorem of Briançon-Skoda about integral closures of ideals, Michigan Math. J. 28 (1981), 97-116. MR 600418
- [PS] C. Peskine and L. Szpiro, Dimension projective finie et cohomologie locale, I.H.E.S. Publ. Math. 42 (1973), 323-395.
- [W] K. Watanabe, Study of F-purity in dimension two, Tokai University, Hiratsuka, Japan, preprint. MR 977783
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15592-9
PII:
S 0273-0979(1988)15592-9
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