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Volumn 41, Issue 4, 1997, Pages 612-629

Extremal properties of Hilbert functions

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EID: 0007085881     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1256068984     Document Type: Article
Times cited : (16)

References (15)
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    • Semigroup rings and simplificial complexes
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    • _, Semigroup rings and simplificial complexes, to appear in the J. Pure Applied Algebra.
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  • 4
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    • Geometric consequences of extremal behavior in a theorem of Macaulay
    • A. Bigatti, A. V. Geramita, and J. C. Migliore, Geometric consequences of extremal behavior in a theorem of Macaulay, Trans. Amer. Math. Soc. 346 (1994), 203-235.
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    • Bigatti, A.1    Geramita, A.V.2    Migliore, J.C.3
  • 6
    • 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
  • 7
    • 0002536398 scopus 로고
    • Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann
    • Algebraic curves and projective geometry, E. Ballico and C. Ciliberto, eds., Springer, New York
    • M. Green, "Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann" in Algebraic curves and projective geometry, E. Ballico and C. Ciliberto, eds., Lecture Notes in Math., no. 1389, Springer, New York, 1989, 76-86.
    • (1989) Lecture Notes in Math. , Issue.1389 , pp. 76-86
    • Green, M.1
  • 9
    • 21844511799 scopus 로고
    • A generalization of Macaulay's theorem
    • _, A generalization of Macaulay's theorem, Communications in Algebra 23 (1995), 1249-1263.
    • (1995) Communications in Algebra , vol.23 , pp. 1249-1263
  • 10
    • 0002545677 scopus 로고
    • A theorem for finite sets
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    • G. Katona, "A theorem for finite sets" in Theory of graphs, P. Erdös and G. Katona, eds., Academic Press, New York, 1968, 187-207.
    • (1968) Theory of Graphs , pp. 187-207
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  • 11
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    • The number of simplices in a complex
    • R. Bellman, ed., University of California Press, Berkeley
    • J. Kruskal, "The number of simplices in a complex" in Mathematical optimization techniques, R. Bellman, ed., University of California Press, Berkeley, 1963, 251-278.
    • (1963) Mathematical Optimization Techniques , pp. 251-278
    • Kruskal, J.1
  • 12
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    • Some properties of enumeration in the theory of modular systems
    • F. S. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. Lond. Math. Soc. 26 (1927), 531-555.
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    • Macaulay, F.S.1
  • 14
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    • Deformation classes of graded modules and maximal Betti numbers
    • _, Deformation classes of graded modules and maximal Betti numbers, Illinois J. Math. 40 (1996), 564-585.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.