Openness of the F-rational locus and smooth base change
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Published in: | Journal of algebra Vol. 172; no. 2; pp. 425 - 453 |
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Language: | English |
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01-03-1995
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Author | Vélez, Juan D. |
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Author_xml | – sequence: 1 givenname: Juan D. surname: Vélez fullname: Vélez, Juan D. organization: Universidad Nacional de Colombia, A.A. 3840, Medellín, Colombia, USA |
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Cites_doi | 10.1090/S0273-0979-1985-15394-7 10.1307/mmj/1029002461 10.1090/S0002-9947-1987-0869233-2 10.2307/2946563 10.1016/0001-8708(76)90073-6 10.1215/ijm/1256065413 10.1017/S0027763000015701 10.2307/2373744 10.1307/mmj/1029002510 10.1007/BF02685877 10.1007/BF01405091 10.1006/jabr.1994.1175 10.1017/S0027763000022698 |
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References | Matsumura (bib21) 1986 Dutta (bib5) 1987; 299 Ogoma (bib24) 1994; 167 Hochster, Roberts (bib18) 1976; 21 Roberts (bib26) 1987; 304 Peskine, Szpiro (bib23) 1973; 42 Hochster, Huneke (bib8) 1990; 3 F-regularity, test elements, and smooth base change, preprint. Hochster, Huneke (bib11) 1992; 135 Smoothing of ring homomorphisms, approximation theorems and the Bass-Quillen conjecture, preprint. Hochster (bib15) 1975; Vol. 24 Lipman, Teissier (bib20) 1981; 28 Roberts (bib27) 1989; Vol. 15 Roberts (bib28) 1987; Vol. 46 Boutot (bib3) 1987; 88 Grothendieck (bib7) 1967; Vol. 41 Tight closure of parameter ideals and splitting in module-finite extensions, preprint. Roberts (bib25) 1985; 13 Fedder, Watanabe (bib6) 1989 Hochster, Eagon (bib16) 1971; 93 J. Briançon, Skoda (bib4) 1974; 278 numeŕo consacré au collooque en honneur de P. Samuel. Hochster (bib14) 1973; 51 Tight closure for parameter ideals, preprint. Aberbach, Hochster, Huneke (bib1) 1993; 432 Hochster, Huneke (bib13) 1993; 103 Lipman, Sathaye (bib19) 1981; 28 Birkhoff, MacLane (bib2) 1965 Tight closure and strong F-regularity Hochster, McLaughlin (bib17) 1983; 27 Popescu (bib22) 1986; 104 Serre (bib29) 1965; Vol. 11 Hochster (10.1016/S0021-8693(05)80010-9_bib16) 1971; 93 Hochster (10.1016/S0021-8693(05)80010-9_bib8) 1990; 3 Hochster (10.1016/S0021-8693(05)80010-9_bib13) 1993; 103 J. Briançon (10.1016/S0021-8693(05)80010-9_bib4) 1974; 278 Birkhoff (10.1016/S0021-8693(05)80010-9_bib2) 1965 Roberts (10.1016/S0021-8693(05)80010-9_bib25) 1985; 13 Serre (10.1016/S0021-8693(05)80010-9_bib29) 1965; Vol. 11 Lipman (10.1016/S0021-8693(05)80010-9_bib20) 1981; 28 Lipman (10.1016/S0021-8693(05)80010-9_bib19) 1981; 28 Roberts (10.1016/S0021-8693(05)80010-9_bib27) 1989; Vol. 15 Aberbach (10.1016/S0021-8693(05)80010-9_bib1) 1993; 432 Grothendieck (10.1016/S0021-8693(05)80010-9_bib7) 1967; Vol. 41 Roberts (10.1016/S0021-8693(05)80010-9_bib28) 1987; Vol. 46 10.1016/S0021-8693(05)80010-9_bib9 Hochster (10.1016/S0021-8693(05)80010-9_bib17) 1983; 27 Dutta (10.1016/S0021-8693(05)80010-9_bib5) 1987; 299 Hochster (10.1016/S0021-8693(05)80010-9_bib18) 1976; 21 Hochster (10.1016/S0021-8693(05)80010-9_bib11) 1992; 135 10.1016/S0021-8693(05)80010-9_bib31 10.1016/S0021-8693(05)80010-9_bib10 10.1016/S0021-8693(05)80010-9_bib30 Matsumura (10.1016/S0021-8693(05)80010-9_bib21) 1986 Popescu (10.1016/S0021-8693(05)80010-9_bib22) 1986; 104 Fedder (10.1016/S0021-8693(05)80010-9_bib6) 1989 10.1016/S0021-8693(05)80010-9_bib12 Hochster (10.1016/S0021-8693(05)80010-9_bib14) 1973; 51 Boutot (10.1016/S0021-8693(05)80010-9_bib3) 1987; 88 Ogoma (10.1016/S0021-8693(05)80010-9_bib24) 1994; 167 Peskine (10.1016/S0021-8693(05)80010-9_bib23) 1973; 42 Hochster (10.1016/S0021-8693(05)80010-9_bib15) 1975; Vol. 24 Roberts (10.1016/S0021-8693(05)80010-9_bib26) 1987; 304 |
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Math. doi: 10.2307/2946563 contributor: fullname: Hochster – volume: 3 start-page: 31 year: 1990 ident: 10.1016/S0021-8693(05)80010-9_bib8 article-title: Tight closure, invariant theory, and the Briançon-Skoda theorem publication-title: J. Amer. Math. Soc. contributor: fullname: Hochster – volume: 21 start-page: 117 year: 1976 ident: 10.1016/S0021-8693(05)80010-9_bib18 article-title: The purity of the Frobenius and local cohomology publication-title: Adv. in Math. doi: 10.1016/0001-8708(76)90073-6 contributor: fullname: Hochster – volume: 27 issue: No. 1 year: 1983 ident: 10.1016/S0021-8693(05)80010-9_bib17 article-title: Splitting theorems for quadratic ring extensions publication-title: Illinois J. Math. doi: 10.1215/ijm/1256065413 contributor: fullname: Hochster – volume: 103 issue: No. 490 year: 1993 ident: 10.1016/S0021-8693(05)80010-9_bib13 article-title: Phantom homology publication-title: Mem. Amer. Math. Soc. contributor: fullname: Hochster – volume: 51 start-page: 25 year: 1973 ident: 10.1016/S0021-8693(05)80010-9_bib14 article-title: Contracted ideals from integral extensions of regular rings publication-title: Nagoya Math. J. doi: 10.1017/S0027763000015701 contributor: fullname: Hochster – volume: Vol. 15 start-page: 417 year: 1989 ident: 10.1016/S0021-8693(05)80010-9_bib27 article-title: Intersection theorems contributor: fullname: Roberts – volume: Vol. 46 start-page: 387 year: 1987 ident: 10.1016/S0021-8693(05)80010-9_bib28 article-title: Local Chern characters and intersection multiplicities contributor: fullname: Roberts – volume: Vol. 11 year: 1965 ident: 10.1016/S0021-8693(05)80010-9_bib29 article-title: de contributor: fullname: Serre – volume: 93 start-page: 1020 year: 1971 ident: 10.1016/S0021-8693(05)80010-9_bib16 article-title: Cohen-Macaulay rings, invariant theory, and the generic perfection of determinental loci publication-title: Amer. J. Math. doi: 10.2307/2373744 contributor: fullname: Hochster – ident: 10.1016/S0021-8693(05)80010-9_bib30 – volume: 28 start-page: 199 year: 1981 ident: 10.1016/S0021-8693(05)80010-9_bib19 article-title: Jacobian ideals and a theorem of Briançon-Skoda publication-title: Michigan Math. J. doi: 10.1307/mmj/1029002510 contributor: fullname: Lipman – volume: 42 start-page: 77 year: 1973 ident: 10.1016/S0021-8693(05)80010-9_bib23 article-title: Dimension projective finie et cohomologie locale publication-title: Inst. Hautes Étud. Sci. Publ. Math. doi: 10.1007/BF02685877 contributor: fullname: Peskine – volume: 88 start-page: 65 year: 1987 ident: 10.1016/S0021-8693(05)80010-9_bib3 article-title: Singularités rationelles et quotients par les groupes réductifs publication-title: Invent. Math. doi: 10.1007/BF01405091 contributor: fullname: Boutot – volume: 167 start-page: 57 year: 1994 ident: 10.1016/S0021-8693(05)80010-9_bib24 article-title: General Néron desingularization based on the idea of Popescu publication-title: J. Algebra doi: 10.1006/jabr.1994.1175 contributor: fullname: Ogoma – volume: 432 start-page: 67 year: 1993 ident: 10.1016/S0021-8693(05)80010-9_bib1 article-title: Localizations of tight closure and modules of finite projective dimension publication-title: J. Reine Angew. Math. contributor: fullname: Aberbach – ident: 10.1016/S0021-8693(05)80010-9_bib9 – volume: 104 start-page: 85 year: 1986 ident: 10.1016/S0021-8693(05)80010-9_bib22 article-title: General Néron desingularization and approximation publication-title: Nagoya Math. J. doi: 10.1017/S0027763000022698 contributor: fullname: Popescu |
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