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Volumn 119, Issue 1, 1997, Pages 159-180

F-rational rings have rational singularities

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EID: 0001487907     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1997.0007     Document Type: Article
Times cited : (202)

References (29)
  • 1
    • 0001350360 scopus 로고
    • On isolated rational surface singularities
    • [Ar] M. Artin, On isolated rational surface singularities, Amer. J. Math. 88 (1962), 129-136.
    • (1962) Amer. J. Math. , vol.88 , pp. 129-136
    • Artin, M.1
  • 2
    • 0002241828 scopus 로고
    • Singularités rationelles et quotients par les groupes réductifs
    • [B] J.-F. Boutôt, Singularités rationelles et quotients par les groupes réductifs, Invent. Math. 88 (1987), 65-68.
    • (1987) Invent. Math. , vol.88 , pp. 65-68
    • Boutôt, J.-F.1
  • 3
    • 0040348113 scopus 로고    scopus 로고
    • Ladder determinantal have rational singularities
    • to appear
    • [CH] A. Conca and J. Herzog, Ladder determinantal have rational singularities, Adv. Math. (to appear).
    • Adv. Math.
    • Conca, A.1    Herzog, J.2
  • 4
    • 0000782211 scopus 로고
    • F-purity and rational singularity
    • R. Fedder, F-purity and rational singularity, Trans. Amer. Math. Soc. 278 (1983), 461-480.
    • (1983) Trans. Amer. Math. Soc. , vol.278 , pp. 461-480
    • Fedder, R.1
  • 5
    • 84967708538 scopus 로고
    • F-purity and rational singularity in graded complete intersection rings
    • _, F-purity and rational singularity in graded complete intersection rings, Trans. Amer. Math. Soc. 301 (1987), 47-62.
    • (1987) Trans. Amer. Math. Soc. , vol.301 , pp. 47-62
  • 6
    • 0001176450 scopus 로고
    • A frobenius characterization of rational singularity in two dimensional graded rings
    • _, A Frobenius characterization of rational singularity in two dimensional graded rings, Trans. Amer. Math. Soc. 340 (1993), 655-668.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 655-668
  • 7
    • 0000695904 scopus 로고
    • A characterization of F-regularity in terms of F-purity
    • Springer-Verlag, New York
    • [FW] R. Fedder, and K. I. Watanabe, A characterization of F-regularity in terms of F-purity, Commutative Algebra, Math. Sci. Res. Inst. Publ., vol. 15, Springer-Verlag, New York, 1989, pp. 227-245.
    • (1989) Commutative Algebra, Math. Sci. Res. Inst. Publ. , vol.15 , pp. 227-245
    • Fedder, R.1    Watanabe, K.I.2
  • 8
    • 34250248371 scopus 로고
    • Quasihomogene rationale singularitäten
    • H. Flenner, Quasihomogene rationale Singularitäten, Arch. Math. 36 (1981), 35-44.
    • (1981) Arch. Math. , vol.36 , pp. 35-44
    • Flenner, H.1
  • 9
    • 0002094044 scopus 로고
    • Singularities of certain ladder determinantal varieties
    • [GS] D. Glassbrenner and K. Smith, Singularities of certain ladder determinantal varieties, J. Pure Appl. Algebra 101 (1995), 59-75.
    • (1995) J. Pure Appl. Algebra , vol.101 , pp. 59-75
    • Glassbrenner, D.1    Smith, K.2
  • 12
    • 0000554923 scopus 로고
    • Resolution of singularities of an algebraic variety over a field of characteristic zero
    • [H] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964), 109-326.
    • (1964) Ann. of Math. , vol.79 , pp. 109-326
    • Hironaka, H.1
  • 13
    • 84968521916 scopus 로고
    • Tight closure, invariant theory and the Briançon-Skoda theorem
    • M. Hochster and C. Huneke, Tight closure, invariant theory and the Briançon-Skoda theorem, Jour. Amer. Math. Soc. 3 (1990), 31-116.
    • (1990) Jour. Amer. Math. Soc. , vol.3 , pp. 31-116
    • Hochster, M.1    Huneke, C.2
  • 14
    • 84968468400 scopus 로고
    • F-regularity, test elements, and smooth base change
    • _, F-regularity, test elements, and smooth base change, Trans. Amer. Math. Soc. 346 (1994), 1-62.
    • (1994) Trans. Amer. Math. Soc. , vol.346 , pp. 1-62
  • 15
    • 0003174359 scopus 로고
    • Tight closure of parameter ideals and splitting in module finite extensions
    • _, Tight closure of parameter ideals and splitting in module finite extensions, J. Algebraic Geom. 3 (1994), 599-670.
    • (1994) J. Algebraic Geom. , vol.3 , pp. 599-670
  • 17
    • 0000949492 scopus 로고
    • The purity of Frobenius and local cohomology
    • [HR] M. Hochster and J. Roberts, The purity of Frobenius and local cohomology, Adv. Math. 21 (1976), 117-172.
    • (1976) Adv. Math. , vol.21 , pp. 117-172
    • Hochster, M.1    Roberts, J.2
  • 19
    • 0002305730 scopus 로고
    • Pseudo-rational local rings and a theorem of Briançon-Skoda on the integral closures of ideals
    • [LT] J. Lipman and B. Tessier, Pseudo-rational local rings and a theorem of Briançon-Skoda on the integral closures of ideals, Michigan Math. J. 28 (1981), 97-116.
    • (1981) Michigan Math. J. , vol.28 , pp. 97-116
    • Lipman, J.1    Tessier, B.2
  • 20
    • 0002429299 scopus 로고
    • Frobenius splitting and cohomology vanishing for Schubert varieties
    • [MR] V. B. Mehta and A. Ramanathan, Frobenius splitting and cohomology vanishing for Schubert varieties, Ann. of Math 122 (1985), 27-40.
    • (1985) Ann. of Math , vol.122 , pp. 27-40
    • Mehta, V.B.1    Ramanathan, A.2
  • 22
    • 0000743352 scopus 로고
    • Schubert varieties are arithmetically Cohen-Macaulay
    • [R] A. Ramanathan, Schubert varieties are arithmetically Cohen-Macaulay, Invent. Math. 80 (1985), 283-294.
    • (1985) Invent. Math. , vol.80 , pp. 283-294
    • Ramanathan, A.1
  • 24
    • 0001802755 scopus 로고
    • Tight closure of parameter ideals
    • _, Tight closure of parameter ideals, Invent. Math. 115 (1994), 41-60.
    • (1994) Invent. Math. , vol.115 , pp. 41-60
  • 26
    • 0000439814 scopus 로고
    • Rational singularities with K*-action
    • S. Greco and G. Valla, eds., Dekker, New York
    • K.-I. Watanabe, Rational singularities with K*-action, Commutative Algebra, Lecture Notes in Pure and Appl. Math., vol. 84 (S. Greco and G. Valla, eds.), Dekker, New York, 1983, pp. 339-351.
    • (1983) Commutative Algebra, Lecture Notes in Pure and Appl. Math. , vol.84 , pp. 339-351
    • Watanabe, K.-I.1
  • 27
    • 0040942040 scopus 로고
    • Study of F-purity in dimension 2
    • in honor of Masayoshi Nagata
    • _, Study of F-purity in dimension 2, Algebraic Geometry and Commutative Algebra (in honor of Masayoshi Nagata) (1987), 1000-1009.
    • (1987) Algebraic Geometry and Commutative Algebra , pp. 1000-1009
  • 28
    • 0000018499 scopus 로고
    • F-regular and F-pure normal graded rings
    • _, F-regular and F-pure normal graded rings, J. Pure Appl. Algebra 71 (1991), 341-350.
    • (1991) J. Pure Appl. Algebra , vol.71 , pp. 341-350


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