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Volumn 1997, Issue 491, 1997, Pages 65-130

F-modules: Applications to local cohomology and Z>-modules in characteristic p > 0

(1)  Lyubeznik, Gennady a  

a NONE   (United States)

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EID: 0031474419     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.1997.491.65     Document Type: Article
Times cited : (226)

References (34)
  • 1
    • 0001778946 scopus 로고
    • On the Ubiquity of Gorenstein Rings
    • H. Bass, On the Ubiquity of Gorenstein Rings Math. Z. 82 (1963), 8-28.
    • (1963) Math. Z. , vol.82 , pp. 8-28
    • Bass, H.1
  • 3
    • 0001620260 scopus 로고
    • The Analytic Continuation of Generalized Functions with Respect to a Parameter
    • I. Bernstein, The Analytic Continuation of Generalized Functions with Respect to a Parameter Funet. Anal. Appi. 6 (4), (1972), 26-40.
    • (1972) Funet. Anal. Appi. , vol.6 , Issue.4 , pp. 26-40
    • Bernstein, I.1
  • 5
    • 0000656830 scopus 로고
    • R. Begvad, 0 J. Algebra 173 (3) (1995), 638-667.
    • (1995) J. Algebra , vol.173 , Issue.3 , pp. 638-667
    • Begvad, R.1
  • 6
    • 0002258608 scopus 로고
    • Über lokale Kohomologiegruppen hoher Ordnung
    • G. Faltings, Über lokale Kohomologiegruppen hoher Ordnung J. reine angew. Math. 313 (1980), 43-51.
    • (1980) J. reine angew. Math. , vol.313 , pp. 43-51
    • Faltings, G.1
  • 7
    • 0000695904 scopus 로고
    • A Characterization of F-Regularity in Terms of F-Purity
    • in
    • R. Fedder and K. Watanabe, A Characterization of F-Regularity in Terms of F-Purity. in: Commutative Algebra, MSRI Pubi. 15 (1989), 227-245.
    • (1989) Commutative Algebra, MSRI Pubi. , vol.15 , pp. 227-245
    • Fedder, R.1    Watanabe, K.2
  • 9
    • 0010842269 scopus 로고
    • Éléments de Géométrie Algébrique IV
    • A. Grothendieck, Éléments de Géométrie Algébrique IV I.H.E.S. Pubi. Math. 32 (1967).
    • (1967) I.H.E.S. Pubi. Math. , vol.32
    • Grothendieck, A.1
  • 10
    • 0003364473 scopus 로고
    • Residues and Duality
    • Springer
    • R. Hartshome, Residues and Duality. Lect. Notes Math. 20, Springer, 1966.
    • (1966) Lect. Notes Math. , pp. 20
    • Hartshome, R.1
  • 11
    • 0000787367 scopus 로고
    • Cohomological Dimension of Algebraic Varieties
    • R. Hartshorne, Cohomological Dimension of Algebraic Varieties Ann. Math. 88 (1968), 403-450.
    • (1968) Ann. Math. , vol.88 , pp. 403-450
    • Hartshorne, R.1
  • 12
    • 0001871315 scopus 로고
    • On the De Rham Cohomology of Algebraic Varieties
    • R. Hartshorne, On the De Rham Cohomology of Algebraic Varieties I.H.E.S. Pubi. Math. 45 (1975), 5-99.
    • (1975) I.H.E.S. Pubi. Math. , vol.45 , pp. 5-99
    • Hartshorne, R.1
  • 13
    • 0001781042 scopus 로고
    • Local Cohomological Dimension in Characteristic p
    • R. Hartshorne and R. Speiser, Local Cohomological Dimension in Characteristic p Ann. Math. 105 (1977), 45-79.
    • (1977) Ann. Math. , vol.105 , pp. 45-79
    • Hartshorne, R.1    Speiser, R.2
  • 14
    • 0001662527 scopus 로고
    • Rings of Invariants of Reductive Groups Acting on Regular Rings are Cohen-Macaulay
    • M. Höchster and J. Roberts, Rings of Invariants of Reductive Groups Acting on Regular Rings are Cohen-Macaulay Adv. Math. 96 (1972), 318-337.
    • (1972) Adv. Math. , vol.96 , pp. 318-337
    • Höchster, M.1    Roberts, J.2
  • 15
    • 0000949492 scopus 로고
    • The Purity of the Frobenius and Local Cohomology
    • M. Höchster and J. Roberts, The Purity of the Frobenius and Local Cohomology Adv. Math. 21 (1976), 117-172.
    • (1976) Adv. Math. , vol.21 , pp. 117-172
    • Höchster, M.1    Roberts, J.2
  • 16
    • 0002297053 scopus 로고
    • On the Vanishing of Local Cohomology Modules
    • C. Hunehe and G. Lyubeznik, On the Vanishing of Local Cohomology Modules Inv. Math. 102 (1990), 73-93.
    • (1990) Inv. Math. , vol.102 , pp. 73-93
    • Hunehe, C.1    Lyubeznik, G.2
  • 17
    • 0000013752 scopus 로고
    • Bass Numbers of Local Cohomology Modules
    • C. Hunehe and R. Sharp, Bass Numbers of Local Cohomology Modules AMS Transactions 339 (1993), 765-779.
    • (1993) AMS Transactions , vol.339 , pp. 765-779
    • Hunehe, C.1    Sharp, R.2
  • 18
    • 0000333971 scopus 로고
    • Characterisations of Regular Local Rings of Characteristic p
    • E. Kunz, Characterisations of Regular Local Rings of Characteristic p Amer. J. Math. 91 (1969), 772-784.
    • (1969) Amer. J. Math. , vol.91 , pp. 772-784
    • Kunz, E.1
  • 19
    • 0001419542 scopus 로고
    • On Noetherian Rings of Characteristic p
    • E. Kunz, On Noetherian Rings of Characteristic p Amer. J. Math. 98 (1976), 999-1013.
    • (1976) Amer. J. Math. , vol.98 , pp. 999-1013
    • Kunz, E.1
  • 20
    • 0001874102 scopus 로고
    • Finiteness Properties of Local Cohomology Modules (an Application of D-modules to Commutative Algebra)
    • G. Lyubeznik, Finiteness Properties of Local Cohomology Modules (an Application of D-modules to Commutative Algebra) Inv. Math. 113 (1993), 41-55.
    • (1993) Inv. Math. , vol.113 , pp. 41-55
    • Lyubeznik, G.1
  • 21
    • 84972500514 scopus 로고
    • Injective Modules over Noetherian Rings
    • E. Matlis, Injective Modules over Noetherian Rings Pac. J. Math. 8 (1958), 511-528.
    • (1958) Pac. J. Math. , vol.8 , pp. 511-528
    • Matlis, E.1
  • 22
    • 0000965001 scopus 로고
    • Local Cohomological Dimension of Algebraic Varieties
    • A. Ogus, Local Cohomological Dimension of Algebraic Varieties Ann. Math. 98 (1973), 327-365.
    • (1973) Ann. Math. , vol.98 , pp. 327-365
    • Ogus, A.1
  • 23
    • 0003820449 scopus 로고
    • Homological Invariants of Modules over Commutative Rings
    • University of Montreal
    • P. Roberts, Homological Invariants of Modules over Commutative Rings. Sém. Math. Sup. 72, University of Montreal, 1980.
    • (1980) Sém. Math. Sup. , pp. 72
    • Roberts, P.1
  • 24
    • 0010759595 scopus 로고
    • Bidualité et Structure des Fonctions Dérivés de lim dans la Catégorie des Modules sur un Anneau Régulier
    • J.-E. Roos, Bidualité et Structure des Fonctions Dérivés de lim dans la Catégorie des Modules sur un Anneau Régulier C.R. Acad. Sci. Paris 254 (1962), 1556-1558.
    • (1962) C.R. Acad. Sci. Paris , vol.254 , pp. 1556-1558
    • Roos, J.-E.1
  • 25
    • 0003023632 scopus 로고
    • Détermination de la Dimension Homologique Globale des Algèbres de Weyl
    • J.-E. Roos, Détermination de la Dimension Homologique Globale des Algèbres de Weyl C. R. Acad. Sci. Paris 274 (1972), 23-26.
    • (1972) C. R. Acad. Sci. Paris , vol.274 , pp. 23-26
    • Roos, J.-E.1
  • 26
    • 3542996201 scopus 로고
    • Algèbre Locale Multiplicités
    • Springer
    • J.-P. Serre, Algèbre Locale Multiplicités. Lect. Notes Math. 11, Springer, 1975.
    • (1975) Lect. Notes Math. , pp. 11
    • Serre, J.-P.1
  • 27
    • 0000380055 scopus 로고
    • The Frobenius Homomorphism and Local Cohomology in Regular Local Rings of Positive Characteristic
    • R. Sharp, The Frobenius Homomorphism and Local Cohomology in Regular Local Rings of Positive Characteristic J. Pure Appi. Algebra 71 (1991), 313-317.
    • (1991) J. Pure Appi. Algebra , vol.71 , pp. 313-317
    • Sharp, R.1
  • 28
    • 0001802755 scopus 로고
    • Tight Closure of Parameter Ideals
    • K. Smith, Tight Closure of Parameter Ideals Inv. Math. 115 (1994), 41-60.
    • (1994) Inv. Math. , vol.115 , pp. 41-60
    • Smith, K.1
  • 29
    • 0000074421 scopus 로고
    • Test Ideals in Local Rings
    • K. Smith, Test Ideals in Local Rings Transactions AMS 347 (9) (1995), 3453-3472.
    • (1995) Transactions AMS , vol.347 , Issue.9 , pp. 3453-3472
    • Smith, K.1
  • 30
    • 0001487907 scopus 로고    scopus 로고
    • jp-rational Rings Have Rational Singularities
    • K. Smith, jp-rational Rings Have Rational Singularities Amer. J. Math. 119 (1997) no. 1, 159-180.
    • (1997) Amer. J. Math. , vol.119 , Issue.1 , pp. 159-180
    • Smith, K.1
  • 31
    • 21744458659 scopus 로고    scopus 로고
    • Fujita's Freeness Conjecture in Terms of Local Cohomology
    • K. Smith, Fujita's Freeness Conjecture in Terms of Local Cohomology. J. Alg. Geom. 6 no. 3 (1997), 417-430.
    • (1997) J. Alg. Geom. , vol.6 , Issue.3 , pp. 417-430
    • Smith, K.1
  • 32
    • 0003311330 scopus 로고
    • An Explicit Construction of the Grothendieck Residue Complex
    • A. Yehutiely, An Explicit Construction of the Grothendieck Residue Complex Astérisque 208 (1992).
    • (1992) Astérisque , vol.208
    • Yehutiely, A.1


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