메뉴 건너뛰기




Volumn , Issue 571, 2004, Pages 179-212

Multigraded castelnuovo-mumford regularity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3142737921     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2004.040     Document Type: Article
Times cited : (94)

References (36)
  • 1
    • 26044478840 scopus 로고
    • A criterion for detecting m-regularity
    • D. Bayer and M. Stillman, A criterion for detecting m-regularity, Invent. Math. 87 (1987), 1-11.
    • (1987) Invent. Math. , vol.87 , pp. 1-11
    • Bayer, D.1    Stillman, M.2
  • 2
    • 0032348322 scopus 로고    scopus 로고
    • Cellular resolutions of monomial modules
    • D. Bayer and B. Sturmfels, Cellular resolutions of monomial modules, J. reine angew. Math. 502 (1998), 123-140.
    • (1998) J. Reine Angew. Math. , vol.502 , pp. 123-140
    • Bayer, D.1    Sturmfels, B.2
  • 5
    • 0003203659 scopus 로고    scopus 로고
    • Local cohomology: An algebraic introduction with geometric applications
    • Cambridge Univ. Press, Cambridge
    • M. P. Brodmann and R. Y. Sharp, Local cohomology: an algebraic introduction with geometric applications, Cambridge Stud. Adv. Math. 60, Cambridge Univ. Press, Cambridge 1998.
    • (1998) Cambridge Stud. Adv. Math. , vol.60
    • Brodmann, M.P.1    Sharp, R.Y.2
  • 6
    • 0031286223 scopus 로고    scopus 로고
    • Normal polytopes, triangulations, and Koszul algebras
    • W. Bruns, J. Gubeladze, and N. V. Trung, Normal polytopes, triangulations, and Koszul algebras, J. reine angew. Math. 485 (1997), 123-160.
    • (1997) J. Reine Angew. Math. , vol.485 , pp. 123-160
    • Bruns, W.1    Gubeladze, J.2    Trung, N.V.3
  • 7
    • 0003356411 scopus 로고
    • Cohen-macaulay rings
    • Cambridge Univ. Press, Cambridge
    • W. Bruns and J. Herzog, Cohen-Macaulay rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge 1993.
    • (1993) Cambridge Stud. Adv. Math. , vol.39
    • Bruns, W.1    Herzog, J.2
  • 9
    • 0034391074 scopus 로고    scopus 로고
    • A generalization of castelnuovo regularity to Grassmann varieties
    • J. V. Chipalkatti, A generalization of Castelnuovo regularity to Grassmann varieties, Manuscr. Math. 102 (2000), 447-464.
    • (2000) Manuscr. Math. , vol.102 , pp. 447-464
    • Chipalkatti, J.V.1
  • 11
    • 0002803885 scopus 로고
    • The homogeneous coordinate ring of a toric variety
    • D. A. Cox, The homogeneous coordinate ring of a toric variety, J. Alg. Geom. 4 (1995), 17-50.
    • (1995) J. Alg. Geom. , vol.4 , pp. 17-50
    • Cox, D.A.1
  • 12
    • 0001201668 scopus 로고    scopus 로고
    • Recent developments in toric geometry, algebraic geometry - Santa cruz 1995
    • Amer. Math. Soc., Providence, RI
    • D. A. Cox, Recent developments in toric geometry, Algebraic geometry - Santa Cruz 1995, Proc. Sympos. Pure Math. 62, Amer. Math. Soc., Providence, RI (1997), 389-436.
    • (1997) Proc. Sympos. Pure Math. , vol.62 , pp. 389-436
    • Cox, D.A.1
  • 13
    • 33646856073 scopus 로고
    • Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
    • L. Ein and R. Lazarsfeld, Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension, Invent. Math. 111 (1993), 51-67.
    • (1993) Invent. Math. , vol.111 , pp. 51-67
    • Ein, L.1    Lazarsfeld, R.2
  • 14
    • 0002080418 scopus 로고
    • Linear free resolutions and minimal multiplicity
    • D. Eisenbud and S. Goto, Linear free resolutions and minimal multiplicity, J. Algebra 88 (1984), 89-133.
    • (1984) J. Algebra , vol.88 , pp. 89-133
    • Eisenbud, D.1    Goto, S.2
  • 15
    • 0003243860 scopus 로고
    • Commutative algebra with a view toward algebraic geometry
    • Springer-Verlag, New York
    • D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Grad. Texts Math. 150, Springer-Verlag, New York 1995.
    • (1995) Grad. Texts Math. , vol.150
    • Eisenbud, D.1
  • 16
    • 0034178787 scopus 로고    scopus 로고
    • Cohomology on toric varieties and local cohomology with monomial supports
    • D. Eisenbud, M. Mustaţǎ, and M. Stillman, Cohomology on toric varieties and local cohomology with monomial supports, J. Symb. Comput. 29 (2000), 583-600.
    • (2000) J. Symb. Comput. , vol.29 , pp. 583-600
    • Eisenbud, D.1    Mustaţǎ, M.2    Stillman, M.3
  • 17
    • 0002893741 scopus 로고
    • Introduction to toric varieties
    • Princeton Univ. Press, Princeton, NJ
    • W. Fulton, Introduction to toric varieties, Ann. Math. Stud. 131, Princeton Univ. Press, Princeton, NJ, 1993.
    • (1993) Ann. Math. Stud. , vol.131
    • Fulton, W.1
  • 18
    • 0002302212 scopus 로고
    • Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
    • G. Gotzmann, Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes, Math. Z. 158 (1978), 61-70.
    • (1978) Math. Z. , vol.158 , pp. 61-70
    • Gotzmann, G.1
  • 20
    • 0001535279 scopus 로고
    • On a theorem of Castelnuovo, and the equations defining space curves
    • L. Gruson, R. Lazarsfeld, and C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72 (1983), 491-506.
    • (1983) Invent. Math. , vol.72 , pp. 491-506
    • Gruson, L.1    Lazarsfeld, R.2    Peskine, C.3
  • 23
    • 0003322387 scopus 로고
    • Algebraic geometry
    • Springer-Verlag, New York
    • R. Hartshorne, Algebraic geometry, Grad. Texts Math. 52, Springer-Verlag, New York 1977.
    • (1977) Grad. Texts Math. , vol.52
    • Hartshorne, R.1
  • 24
    • 0038369155 scopus 로고    scopus 로고
    • Toric hyperkähler varieties
    • T. Hausel and B. Sturmfels, Toric Hyperkähler Varieties, Doc. Math. 7 (2002), 495-534.
    • (2002) Doc. Math. , vol.7 , pp. 495-534
    • Hausel, T.1    Sturmfels, B.2
  • 26
    • 0742268010 scopus 로고    scopus 로고
    • Appendix C
    • A. Iarrobino and V. Kanev, Power sums, Gorenstein algebras, and determinantal loci, Springer-Verlag, Berlin
    • A. Iarrobino and S. L. Kleiman, Appendix C, in: A. Iarrobino and V. Kanev, Power sums, Gorenstein algebras, and determinantal loci, Lect. Notes Math. 1721, Springer-Verlag, Berlin 1999.
    • (1999) Lect. Notes Math. , vol.1721
    • Iarrobino, A.1    Kleiman, S.L.2
  • 29
    • 0034258888 scopus 로고    scopus 로고
    • The Alexander duality functors and local duality with monomial support
    • E. Miller, The Alexander duality functors and local duality with monomial support, J. Algebra 231 (2000), 180-234.
    • (2000) J. Algebra , vol.231 , pp. 180-234
    • Miller, E.1
  • 33
    • 0037385545 scopus 로고    scopus 로고
    • Regularity on abelian varieties I
    • G. Pareschi and M. Popa, Regularity on abelian varieties I, J. Amer. Math. Soc. 16 (2003), 285-302.
    • (2003) J. Amer. Math. Soc. , vol.16 , pp. 285-302
    • Pareschi, G.1    Popa, M.2
  • 34
    • 0035888633 scopus 로고    scopus 로고
    • Local cohomology of Stanley-reisner rings with supports in general monomial ideals
    • V. Reiner, V. Welker, and K. Yanagawa, Local cohomology of Stanley-Reisner rings with supports in general monomial ideals, J. Algebra 244 (2001), 706-736.
    • (2001) J. Algebra , vol.244 , pp. 706-736
    • Reiner, V.1    Welker, V.2    Yanagawa, K.3
  • 35
    • 0003239831 scopus 로고    scopus 로고
    • Multiplicities and chern classes in local algebra
    • Cambridge Univ. Press, Cambridge
    • P. C. Roberts, Multiplicities and Chern classes in local algebra, Cambridge Tracts Math. 133, Cambridge Univ. Press, Cambridge 1998.
    • (1998) Cambridge Tracts Math. , vol.133
    • Roberts, P.C.1
  • 36
    • 0003222229 scopus 로고
    • Lectures on polytopes
    • Springer-Verlag, New York
    • G. M. Ziegler, Lectures on polytopes, Grad. Texts Math. 152, Springer-Verlag, New York 1995.
    • (1995) Grad. Texts Math. , vol.152
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.