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. 
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     number = {38},
     year = {1989},
     doi = {10.24033/msmf.343},
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}
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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. https://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

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