메뉴 건너뛰기




Volumn 349, Issue 12, 1997, Pages 4973-5000

Gorenstein algebras, symmetric matrices, self-linked ideals, and symbolic powers

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21944443099     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-01960-0     Document Type: Article
Times cited : (19)

References (32)
  • 1
    • 0000169874 scopus 로고
    • Residual intersections in Cohen-Macaulay rings
    • MR 46:166
    • M. Artin and M. Nagata, Residual intersections in Cohen-Macaulay rings J. Math. Kyoto Univ. 12 1972 307-23MR 46:166
    • (1972) J. Math. Kyoto Univ. , vol.12 , pp. 307-323
    • Artin, M.1    Nagata, M.2
  • 2
    • 84971942431 scopus 로고
    • The asymptotic nature of analytic spread
    • MR 81e:13033
    • M. Brodmann, The asymptotic nature of analytic spread, Math. Proc. Camb. Phil. Soc. 86 1979 35-39MR 81e:13033
    • (1979) Math. Proc. Camb. Phil. Soc. , vol.86 , pp. 35-39
    • Brodmann, M.1
  • 3
    • 84966223967 scopus 로고
    • The Eisenbud-Evans generalized principal ideal theorem and determinantal ideals
    • MR 82k:13010
    • W. Bruns, The Eisenbud-Evans generalized principal ideal theorem and determinantal ideals, Proc. Amer. Math. Soc. 83 1981 19-24MR 82k:13010
    • (1981) Proc. Amer. Math. Soc. , vol.83 , pp. 19-24
    • Bruns, W.1
  • 4
    • 0001051265 scopus 로고
    • What annihilates a module!
    • MR 57:16293
    • D. Buchsbaum and D. Eisenbud, What annihilates a module! J. Algebra 47 1977 231-43MR 57:16293
    • (1977) J. Algebra , vol.47 , pp. 231-243
    • Buchsbaum, D.1    Eisenbud, D.2
  • 5
    • 0000776599 scopus 로고
    • Algebraic structures for finite free resolutions, and some structure theorems for ideals of codimension
    • MR 56:11983
    • D. Buchsbaum and D. Eisenbud, Algebraic structures for finite free resolutions, and some structure theorems for ideals of codimension 3, Amer. J. Math. 99 1977 447-85MR 56:11983
    • (1977) 3, Amer. J. Math. , vol.99 , pp. 447-485
    • Buchsbaum, D.1    Eisenbud, D.2
  • 6
    • 0001787546 scopus 로고
    • Commutative algebra methods and equations of regular surfaces
    • L. Bädescu and D. Popescu (eds.), Lecture Notes in Math. 1056, Springer-Verlag, MR 86c:14027
    • F. Catanese, Commutative algebra methods and equations of regular surfaces, Algebraic Geometry, Bucharest 1982, L. Bädescu and D. Popescu (eds.), Lecture Notes in Math. 1056, Springer-Verlag, 1984, pp. 68-111MR 86c:14027
    • (1984) Algebraic Geometry, Bucharest 1982 , pp. 68-111
    • Catanese, F.1
  • 7
    • 0000379901 scopus 로고
    • Deformations of the normalization of hypersurfaces
    • MR 92d:32050
    • T. de Jong and D. van Straten, Deformations of the normalization of hypersurfaces, Math. Ann. 288 1990 527-47MR 92d:32050
    • (1990) Math. Ann. , vol.288 , pp. 527-547
    • De Jong, T.1    Van Straten, D.2
  • 8
    • 0000543491 scopus 로고
    • Ideals defined by matrices and a certain complex associated to them
    • MR 26:161
    • J. Eagon and D. Northcott, Ideals defined by matrices and a certain complex associated to them, Proc. Royal Soc. A269 1962 188-204MR 26:161
    • (1962) Proc. Royal Soc. a , vol.269 , pp. 188-204
    • Eagon, J.1    Northcott, D.2
  • 9
    • 84967790429 scopus 로고
    • Homological algebra on a complete intersection, with an application to group representations
    • MR 82d: 13013
    • D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 1980 35-64MR 82d: 13013
    • (1980) Trans. Amer. Math. Soc. , vol.260 , pp. 35-64
    • Eisenbud, D.1
  • 11
    • 0041046181 scopus 로고
    • Die Sätze von Bertinifür lokale Ringe
    • MR 57:311
    • H. Flenner, Die Sätze von Bertinifür lokale Ringe, Math. Ann. 229 1977 97-111MR 57:311
    • (1977) Math. Ann. , vol.229 , pp. 97-111
    • Flenner, H.1
  • 12
    • 0002596575 scopus 로고
    • The Cohen-Macaulay and Gorenstein Rees algebras associated to filtrations
    • MR 95b:13001
    • S. Goto and K. Nishida, The Cohen-Macaulay and Gorenstein Rees algebras associated to filtrations, Mem. Amer. Math. Soc., vol. 110, 1994, no. 526MR 95b:13001
    • (1994) Mem. Amer. Math. Soc. , vol.110 , Issue.526
    • Goto, S.1    Nishida, K.2
  • 13
    • 84972577324 scopus 로고
    • The Gorensteinness of symbolic Rees algebras for space curves
    • MR 92h:13019
    • S. Goto, K. Nishida, and Y. Shimoda, The Gorensteinness of symbolic Rees algebras for space curves J. Math. Soc. Japan 43 1991 465-81MR 92h:13019
    • (1991) J. Math. Soc. Japan , vol.43 , pp. 465-481
    • Goto, S.1    Nishida, K.2    Shimoda, Y.3
  • 14
    • 84966206133 scopus 로고
    • Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question
    • MR 94d: 13005
    • S. Goto, K. Nishida, and K. Watanabe, Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question, Proc. Amer. Math. Soc. 120 1994 383-92MR 94d: 13005
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 383-392
    • Goto, S.1    Nishida, K.2    Watanabe, K.3
  • 15
    • 0030584625 scopus 로고    scopus 로고
    • Koszul modules and Gorenstein algebras
    • MR 96b:13021
    • M. Grassi, Koszul modules and Gorenstein algebras J. Algebra 180 1996 918-53MR 96b:13021
    • (1996) J. Algebra , vol.180 , pp. 918-953
    • Grassi, M.1
  • 16
    • 21644451133 scopus 로고
    • Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux
    • North Holland Publishing Co., Amsterdam, MR 57:16294
    • A. Grothendieck, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux, (SGA II), Exposé XIV, Advanced Studies in Math, Vol. II, North Holland Publishing Co., Amsterdam, 1968MR 57:16294
    • (1968) (SGA II), Exposé XIV, Advanced Studies in Math , vol.2
    • Grothendieck, A.1
  • 17
    • 0002052751 scopus 로고
    • Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki sequences, in Commutative Algebra and Combinatorics
    • M. Nagata and H. Matsumura (eds.), North-Holland, Amsterdam MR 89h:13029
    • J. Herzog and M. Kühl, Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki sequences, in Commutative Algebra and Combinatorics, M. Nagata and H. Matsumura (eds.), Advanced Studies in Pure Math 11, North-Holland, Amsterdam (1987), 65-92MR 89h:13029
    • (1987) Advanced Studies in Pure Math , vol.11 , pp. 65-92
    • Herzog, J.1    Kühl, M.2
  • 18
    • 84972496420 scopus 로고
    • Self-linked curve singularities
    • MR 92c:13010
    • J. Herzog and B. Ulrich, Self-linked curve singularities, Nagoya Math J. 120 1990 129-53MR 92c:13010
    • (1990) Nagoya Math J. , vol.120 , pp. 129-153
    • Herzog, J.1    Ulrich, B.2
  • 19
    • 51249184953 scopus 로고
    • Ideals generated by minors of a symmetric matrix
    • MR 80g:14041
    • T. Jozéfiak, Ideals generated by minors of a symmetric matrix, Comment. Math. Helv. 53 1978 594-607MR 80g:14041
    • (1978) Comment. Math. Helv. , vol.53 , pp. 594-607
    • Jozéfiak, T.1
  • 20
    • 0000291795 scopus 로고
    • Ideals generated by Pfaffians
    • MR 81e:13005
    • T. Jozéfiak and P. Pragacz, Ideals generated by Pfaffians J. Algebra 61 1979 189-98MR 81e:13005
    • (1979) J. Algebra , vol.61 , pp. 189-198
    • Jozéfiak, T.1    Pragacz, P.2
  • 21
    • 0000243962 scopus 로고
    • The source double-point cycle of a finite map of codimension one, in Complex Projective Varieties
    • G. Ellingsrud, C. Peskine, G. Sacchiero, and S. A. Stromme (eds.), MR 94a:14003
    • S. Kleiman, J. Lipman, and B. Ulrich, The source double-point cycle of a finite map of codimension one, in Complex Projective Varieties, G. Ellingsrud, C. Peskine, G. Sacchiero, and S. A. Stromme (eds.), London Math. Soc. Lecture Note Series 179 1992 199-212MR 94a:14003
    • (1992) London Math. Soc. Lecture Note Series , vol.179 , pp. 199-212
    • Kleiman, S.1    Lipman, J.2    Ulrich, B.3
  • 22
    • 0030268051 scopus 로고    scopus 로고
    • The multiple-point schemes of a finite curvilinear map of codimension one
    • CMP 97:03
    • S. Kleiman, J. Lipman, and B. Ulrich, The multiple-point schemes of a finite curvilinear map of codimension one, Ark. Mat. 34 1996 285-326. CMP 97:03
    • (1996) Ark. Mat. , vol.34 , pp. 285-326
    • Kleiman, S.1    Lipman, J.2    Ulrich, B.3
  • 24
    • 0001134771 scopus 로고
    • Cohen-Macaulay rings and ideal theory in rings of invariants of algebraic groups
    • MR 50:4570
    • R. Kutz, Cohen-Macaulay rings and ideal theory in rings of invariants of algebraic groups, Trans. Amer. Math. Soc. 194 1974 115-29MR 50:4570
    • (1974) Trans. Amer. Math. Soc. , vol.194 , pp. 115-129
    • Kutz, R.1
  • 26
    • 0001195853 scopus 로고
    • Fitting ideals and multiple points of analytic mappings, Algebraic geometry and complex analysis
    • E. Ramirez de Arellano (éd.), Springer-Verlag, MR 91e:32035
    • D. Mond and R. Pellikaan, Fitting ideals and multiple points of analytic mappings, Algebraic geometry and complex analysis, E. Ramirez de Arellano (éd.), Proc. Conf., Pâtzcuaro 1987, Lecture Notes in Math. 1414, Springer-Verlag, 1989, pp. 107-161MR 91e:32035
    • (1989) Proc. Conf., Pâtzcuaro 1987, Lecture Notes in Math. , vol.1414 , pp. 107-161
    • Mond, D.1    Pellikaan, R.2
  • 27
    • 84968518804 scopus 로고
    • The converse of a theorem of Sharp on Gorenstein modules
    • MR 45:5128
    • I. Reiten, The converse of a theorem of Sharp on Gorenstein modules, Proc. Amer. Math. Soc. 40 1972 417-20MR 45:5128
    • (1972) Proc. Amer. Math. Soc. , vol.40 , pp. 417-420
    • Reiten, I.1
  • 28
    • 84968487583 scopus 로고
    • A prime ideal in a polynomial ring whose symbolic blow-up is not Noetherian
    • MR 86k:13017
    • P. Roberts, A prime ideal in a polynomial ring whose symbolic blow-up is not Noetherian, Proc. Amer. Math. Soc. 94 1985 589-92MR 86k:13017
    • (1985) Proc. Amer. Math. Soc. , vol.94 , pp. 589-592
    • Roberts, P.1
  • 29
    • 38249018313 scopus 로고
    • An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hubert's fourteenth problem
    • MR 91j:13006
    • P. Roberts, An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hubert's fourteenth problem J. Algebra 132 1990 461-73MR 91j:13006
    • (1990) J. Algebra , vol.132 , pp. 461-473
    • Roberts, P.1
  • 30
    • 0000142862 scopus 로고
    • The Poincaré series of a local ring
    • MR 39:2751
    • J. Shamash, The Poincaré series of a local ring J. Algebra 12 1969 453-70MR 39:2751
    • (1969) J. Algebra , vol.12 , pp. 453-470
    • Shamash, J.1
  • 32
    • 33947575050 scopus 로고
    • On set-theoretic complete intersections, Complete Intersections
    • S. Greco and R. Strano (eds.), Springer-Verlag, MR 86f:14033
    • G. Valla, On set-theoretic complete intersections, Complete Intersections, S. Greco and R. Strano (eds.), Proc. Conf., Arcireale 1983 Lecture Notes in Math. 1092, Springer-Verlag, 1984, pp. 85-101MR 86f:14033
    • (1984) Proc. Conf., Arcireale 1983 Lecture Notes in Math. , vol.1092 , pp. 85-101
    • Valla, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.