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Volumn 113, Issue 1, 1998, Pages 1-22

Hilbert functions and generic forms

Author keywords

Cayley Bacharach and Higher Castelnuovo Theory; Green and Gotzmann theorems; Hilbert functions

Indexed keywords


EID: 0042376981     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1000461715435     Document Type: Article
Times cited : (33)

References (17)
  • 3
    • 65249142357 scopus 로고
    • Upper Bounds for the Betti Numbers of a Given Hilbert Function
    • Bigatti, A.M.: Upper Bounds for the Betti Numbers of a Given Hilbert Function, Comm. Algebra 21(7) (1993), 2317-2334.
    • (1993) Comm. Algebra , vol.21 , Issue.7 , pp. 2317-2334
    • Bigatti, A.M.1
  • 7
  • 8
    • 0030531708 scopus 로고    scopus 로고
    • Cayley-Bacharach theorems and conjectures
    • Eisenbud, D., Green, M., Harris, J.: Cayley-Bacharach theorems and conjectures, Bull. AMS 33(3), (1996), 295-324.
    • (1996) Bull. AMS , vol.33 , Issue.3 , pp. 295-324
    • Eisenbud, D.1    Green, M.2    Harris, J.3
  • 10
    • 0001511869 scopus 로고
    • An inequality for Hilbert series of graded algebras
    • Fröberg, R.: An inequality for Hilbert series of graded algebras, Math. Scand. 56 (1985), 117-144.
    • (1985) Math. Scand. , vol.56 , pp. 117-144
    • Fröberg, R.1
  • 11
    • 0000082080 scopus 로고
    • A propos du théorème de préparation de Weierstrass
    • Springer Lect. Notes, 409, Berlin
    • Galligo, A.: A propos du théorème de préparation de Weierstrass, in Functions de Plusieurs Variables Complexes, Springer Lect. Notes, 409, Berlin, 1974, pp. 543-579.
    • (1974) Functions de Plusieurs Variables Complexes , pp. 543-579
    • Galligo, A.1
  • 13
    • 0002302212 scopus 로고
    • Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
    • Gotzmann, G.: 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
  • 14
    • 0002536398 scopus 로고
    • Restriction of linear series to hyperplanes, and some results of Macaulay and Gotzmann
    • Springer Lect. Notes, 1389, Berlin
    • Green, M.: Restriction of linear series to hyperplanes, and some results of Macaulay and Gotzmann, in Algebraic Curves and Projective Geometry, Springer Lect. Notes, 1389, Berlin, 1989, 76-86.
    • (1989) Algebraic Curves and Projective Geometry , pp. 76-86
    • Green, M.1
  • 15
    • 84960614673 scopus 로고
    • Some properties of enumeration in the theory of modular systems
    • Macaulay, F. S.: Some properties of enumeration in the theory of modular systems, Proc. London Math. Soc. 26 (1927), 531-555.
    • (1927) Proc. London Math. Soc. , vol.26 , pp. 531-555
    • Macaulay, F.S.1
  • 16
    • 84972499861 scopus 로고
    • Multiplicity and t-isomultiple ideals
    • Rossi, M., Valla, G.: Multiplicity and t-isomultiple ideals, Nagoya Math. J. 110 (1988), 81-111.
    • (1988) Nagoya Math. J. , vol.110 , pp. 81-111
    • Rossi, M.1    Valla, G.2
  • 17
    • 0009420904 scopus 로고    scopus 로고
    • Problems and results on Hilbert functions of graded algebras
    • Bellaterra, July 16-26, Centre de Reserca Matemàtica
    • Valla, G.: Problems and results on Hilbert functions of graded algebras, in Summer School on Commutative Algebra, Vol. 1, Bellaterra, July 16-26, 1996. Centre de Reserca Matemàtica.
    • (1996) Summer School on Commutative Algebra , vol.1
    • Valla, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.