메뉴 건너뛰기




Volumn 355, Issue 1, 2003, Pages 1-36

On the minimal free resolution of n + 1 general forms

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037240214     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03092-1     Document Type: Article
Times cited : (27)

References (29)
  • 1
    • 0000660988 scopus 로고
    • Thin algebras of embedding dimension three
    • MR 88d:13016a
    • D. Anick, Thin algebras of embedding dimension three, J. Algebra 100 (1986), 235-259. MR 88d:13016a
    • (1986) J. Algebra , vol.100 , pp. 235-259
    • Anick, D.1
  • 2
    • 0000418957 scopus 로고
    • Série de Hilbert d'une algèbre de polynomes quotient
    • MR 96h:13039
    • M. Aubry, Série de Hilbert d'une algèbre de polynomes quotient, J. Algebra 176 (1995), 392-416. MR 96h:13039
    • (1995) J. Algebra , vol.176 , pp. 392-416
    • Aubry, M.1
  • 4
    • 65249142357 scopus 로고
    • Upper bounds for the Betti numbers of a given Hilbert function
    • MR 94c:13014
    • A. Bigatti, Upper bounds for the Betti numbers of a given Hilbert function, Comm. Algebra 21 (1993), no. 7, 2317-2334. MR 94c:13014
    • (1993) Comm. Algebra , vol.21 , Issue.7 , pp. 2317-2334
    • Bigatti, A.1
  • 5
    • 0033555088 scopus 로고    scopus 로고
    • Betti numbers of compressed level algebras
    • MR 99m:13023
    • M. Boij, Betti numbers of compressed level algebras, J. Pure and Applied Algebra 134 (1999), 111-131. MR 99m:13023
    • (1999) J. Pure and Applied Algebra , vol.134 , pp. 111-131
    • Boij, M.1
  • 6
    • 0002331766 scopus 로고    scopus 로고
    • Gorenstein Artin algebras and points in projective space
    • MR 99i:13033
    • M. Boij, Gorenstein Artin Algebras and Points in Projective Space, Bull. London Math. Soc. 31 (1999), 11-16. MR 99i:13033
    • (1999) Bull. London Math. Soc. , vol.31 , pp. 11-16
    • Boij, M.1
  • 7
    • 0000776599 scopus 로고
    • Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3
    • MR 56:11983
    • D. Buchsbaum and D. Eisenbud, Algebra Structures for Finite Free Resolutions, and some Structure Theorems for Ideals of Codimension 3, Amer. J. of Math. 99 (1977), 447-485. MR 56:11983
    • (1977) Amer. J. of Math. , vol.99 , pp. 447-485
    • Buchsbaum, D.1    Eisenbud, D.2
  • 9
    • 84968468111 scopus 로고
    • Gorenstein algebras and the Cayley-Bacharach theorem
    • MR 86k:14034
    • E. Davis, A.V. Geramita, and F. Oreechia, Gorenstein Algebras and the Cayley-Bacharach Theorem, Proc. Amer. Math. Soc. 93 (1985), 593-597. MR 86k:14034
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 593-597
    • Davis, E.1    Geramita, A.V.2    Oreechia, F.3
  • 10
    • 0001305119 scopus 로고    scopus 로고
    • Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
    • MR 99513016
    • S. Diesel, Irreducibility and Dimension Theorems for Families of Height 3 Gorenstein Algebras, Pacific J. Math. 172 (1996), no. 2, 365-397. MR 99513016
    • (1996) Pacific J. Math. , vol.172 , Issue.2 , pp. 365-397
    • Diesel, S.1
  • 11
    • 0002080418 scopus 로고
    • Linear free resolutions and minimal multiplicity
    • MR 85513023
    • D. Eisenbud and S. Goto, Linear free resolutions and minimal multiplicity, J. Algebra 88 (1984), 89-133. MR 85513023
    • (1984) J. Algebra , vol.88 , pp. 89-133
    • Eisenbud, D.1    Goto, S.2
  • 12
    • 0033474618 scopus 로고    scopus 로고
    • Gale duality and free resolutions of ideals of points
    • MR 2000i:13014
    • D. Eisenbud and S. Popescu, Gale Duality and Free Resolutions of Ideals of Points, Invent. Math. 136 (1999), 419-449. MR 2000i:13014
    • (1999) Invent. Math. , vol.136 , pp. 419-449
    • Eisenbud, D.1    Popescu, S.2
  • 13
    • 0001511869 scopus 로고
    • An inequality for Hilbert series of graded algebras
    • MR 87513021
    • R. Fröberg, An inequality for Hilbert series of graded algebras, Math. Scand. 56 (1985), 117-144. MR 87513021
    • (1985) Math. Scand. , vol.56 , pp. 117-144
    • Fröberg, R.1
  • 14
    • 38149145847 scopus 로고
    • Hilbert series for ideals generated by generic forms
    • MR 95h:13015
    • R. Fröberg and J. Hollman, Hilbert series for ideals generated by generic forms, J. Symbolic Comput. 17 (1994), 149-157. MR 95h:13015
    • (1994) J. Symbolic Comput. , vol.17 , pp. 149-157
    • Fröberg, R.1    Hollman, J.2
  • 15
    • 0000879579 scopus 로고
    • Compressed algebras
    • Complete intersections (Acireale), Springer, Berlin
    • R. Fröberg and D. Laksov, Compressed algebras, Complete intersections (Acireale, 1983), 121-151, Lecture Notes in Math., 1092, Springer, Berlin, 1984.
    • (1983) Lecture Notes in Math. , vol.1092 , pp. 121-151
    • Fröberg, R.1    Laksov, D.2
  • 16
    • 21844514174 scopus 로고
    • Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property
    • MR 96b:13014
    • T. Harima, Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property, Proc. Amer. Math. Soc. 123 (1995), 3631-3638. MR 96b:13014
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 3631-3638
    • Harima, T.1
  • 17
    • 0038706396 scopus 로고    scopus 로고
    • The weak and strong Lefschetz properties for Artinian K-algebras
    • T. Harima, J. Migliore, U. Nagel and J. Watanabe, The Weak and Strong Lefschetz properties for Artinian K-algebras, to appear in J. Algebra.
    • J. Algebra
    • Harima, T.1    Migliore, J.2    Nagel, U.3    Watanabe, J.4
  • 19
    • 0000695899 scopus 로고
    • The linear syzygies of generic forms
    • MR 88d:13016b
    • M. Hochster and D. Laksov, The Linear Syzygies of Generic Forms, Comm. Algebra 15 (1987), 227-239. MR 88d:13016b
    • (1987) Comm. Algebra , vol.15 , pp. 227-239
    • Hochster, M.1    Laksov, D.2
  • 20
    • 84946980409 scopus 로고
    • Maximum Betti numbers of homogeneous ideals with a given Hilbert function
    • MR 94c:13015
    • H. Hulett, Maximum Betti numbers of homogeneous ideals with a given Hilbert function, Comm. Algebra 21 (1993), no. 7, 2335-2350. MR 94c:13015
    • (1993) Comm. Algebra , vol.21 , Issue.7 , pp. 2335-2350
    • Hulett, H.1
  • 21
    • 0000288926 scopus 로고    scopus 로고
    • Inverse system of a symbolic power III. Thin algebras and fat points
    • MR 98k:13017
    • A. Iarrobino, Inverse system of a symbolic power III. Thin algebras and fat points, Compositio Math. 108 (1997) 319-356. MR 98k:13017
    • (1997) Compositio Math. , vol.108 , pp. 319-356
    • Iarrobino, A.1
  • 22
    • 0003199354 scopus 로고    scopus 로고
    • Power sums, Gorenstein algebras, and determinantal loci
    • MR 2001d:14056
    • A. Iarrobino and V. Kanev, "Power Sums, Gorenstein Algebras, and Determinantal Loci," Springer LNM 1721 (1999). MR 2001d:14056
    • (1999) Springer LNM , vol.1721
    • Iarrobino, A.1    Kanev, V.2
  • 23
    • 38249002930 scopus 로고
    • The minimal resolution conjecture
    • MR 94g:13005
    • A. Lorenzini, The Minimal Resolution Conjecture, J. Algebra 156 (1993), 5-35. MR 94g:13005
    • (1993) J. Algebra , vol.156 , pp. 5-35
    • Lorenzini, A.1
  • 24
    • 0003302886 scopus 로고    scopus 로고
    • Introduction to Liaison theory and deficiency modules
    • MR 2000g:14058
    • J. Migliore, "Introduction to Liaison Theory and Deficiency Modules," Birkhäuser, Progress in Mathematics 165, 1998. MR 2000g:14058
    • (1998) Birkhäuser, Progress in Mathematics , vol.165
    • Migliore, J.1
  • 25
    • 0346269082 scopus 로고    scopus 로고
    • Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers
    • J. Migliore and U. Nagel, Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers, to appear in Adv. Math.
    • Adv. Math.
    • Migliore, J.1    Nagel, U.2
  • 27
    • 0000652666 scopus 로고
    • Liaison des variétés algébriques. I
    • MR 51:526
    • C. Peskine and L. Szpiro, Liaison des variétés algébriques. I, Invent. Math. 26 (1974), 271-302. MR 51:526
    • (1974) Invent. Math. , vol.26 , pp. 271-302
    • Peskine, C.1    Szpiro, L.2
  • 28
    • 0000946102 scopus 로고
    • Weyl groups, the hard Lefschetz theorem, and the Sperner property
    • MR 82j:20083
    • R. Stanley, Weyl groups, the hard Lefschetz theorem, and the Sperner property, SIAM J. Algebraic Discrete Methods 1 (1980), 168-184. MR 82j:20083
    • (1980) SIAM J. Algebraic Discrete Methods , vol.1 , pp. 168-184
    • Stanley, R.1
  • 29
    • 0001624769 scopus 로고
    • The Dilworth number of Artinian rings and finite posers with rank function
    • Kinokuniya Co. North Holland, Amsterdam. MR 89k:13015
    • J. Watanabe, The Dilworth number of Artinian rings and finite posers with rank function, Commutative Algebra and Combinatorics, Advanced Studies in Pure Math. Vol. 11, Kinokuniya Co. North Holland, Amsterdam (1987), 303-312. MR 89k:13015
    • (1987) Commutative Algebra and Combinatorics, Advanced Studies in Pure Math. , vol.11 , pp. 303-312
    • Watanabe, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.