Tight closure and strong F-regularity
Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987), Mémoires de la Société Mathématique de France, Série 2, no. 38 (1989), pp. 119-133. 
@incollection{MSMF_1989_2_38__119_0,
     author = {Hochster, Melvin and Huneke, Craig},
     title = {Tight closure and strong {F-regularity}},
     booktitle = {Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987)},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     pages = {119--133},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {38},
     year = {1989},
     doi = {10.24033/msmf.343},
     mrnumber = {91i:13025},
     zbl = {0699.13003},
     url = {http://archive.numdam.org/articles/10.24033/msmf.343/}
}
TY  - CHAP
AU  - Hochster, Melvin
AU  - Huneke, Craig
TI  - Tight closure and strong F-regularity
BT  - Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987)
AU  - Collectif
T3  - Mémoires de la Société Mathématique de France
PY  - 1989
SP  - 119
EP  - 133
IS  - 38
PB  - Société mathématique de France
UR  - http://archive.numdam.org/articles/10.24033/msmf.343/
DO  - 10.24033/msmf.343
ID  - MSMF_1989_2_38__119_0
ER  - 
%0 Book Section
%A Hochster, Melvin
%A Huneke, Craig
%T Tight closure and strong F-regularity
%B Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987)
%A Collectif
%S Mémoires de la Société Mathématique de France
%D 1989
%P 119-133
%N 38
%I Société mathématique de France
%U http://archive.numdam.org/articles/10.24033/msmf.343/
%R 10.24033/msmf.343
%F MSMF_1989_2_38__119_0
Hochster, Melvin; Huneke, Craig. Tight closure and strong F-regularity, dans Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987), Mémoires de la Société Mathématique de France, Série 2, no. 38 (1989), pp. 119-133. doi : 10.24033/msmf.343. http://archive.numdam.org/articles/10.24033/msmf.343/

[B] J.-F. Boutot. Singularités rationnelles et quotients par les groupes réductifs. Invent. Math. 88 (1987) 65-68. | MR | Zbl

[BrS] J. Briancon and H. Skoda. Sur la clôture intégrale d'un idéal de germes de fonctions holomorphes en un point de Cn. C. R. Acad. Sci. Paris Sér. A 278 (1974) 949-951. | MR | Zbl

[H1] M. Hochster. Contracted ideals from integral extensions of regular rings. Nagoya Math. J. 51 (1972) 25-43. | MR | Zbl

[H2] M. Hochster. Topics in the homological theory of modules over commutative rings. C.B.M.S. Regional Conf. Ser. in Math. N° 24, A.M.S., Providence, R.I. 1975. | MR | Zbl

[H3] M. Hochster. Canonical elements in local cohomology modules and the direct summand conjecture. J. of Algebra 84 (1983) 503-553. | MR | Zbl

[HH1] M. Hochster and C. Huneke. Tightly closed ideals. Bull. Amer. Math. Soc., 18 (1988) 45-48. | MR | Zbl

[HH2] M. Hochster and C. Huneke. Tight closure, 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. Advances in Math. 13 (1974) 115-175. | MR | Zbl

[HR2] M. Hochster and J.L. Roberts. The purity of the Frobenius and local cohomology. Advances in Math. 21 (1976) 117-172. | MR | Zbl

[K] G. Kempf. The Hochster-Roberts theorem of invariant theory. Michigan Math. J. 26 (1979) 19-32. | MR | Zbl

[LS] J. Lipman and A. Sathaye. Jacobian ideals and a theorem of Briançon-Skoda. Michigan Math. J. 28 (1981) 199-222. | MR | Zbl

[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) 97-1116. | MR | Zbl

[PS] C. Peskine and L. Szpiro. Dimension projective finie et cohomologie locale. I.H.E.S. Publ. Math. 42 (1973) 323-395. | Numdam | Zbl

[W] K. Watanabe. Study of F-purity in dimension two, preprint, Tokai University, Hiratsuka, 259-12, Japan.

Cité par Sources :