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Space Curves pp 232–250Cite as

Multiplicities and Betti numbers of homogeneous ideals

Part of the Lecture Notes in Mathematics book series (LNM,volume 1266)

Abstract

Half-closed formulae are given for the multiplicity and the Betti numbers of a homogeneous ideal in terms of its numerical data. A variety of situations, both algebraic and geometric, are surveyed for which such formulae apply and often clarify the context.

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© 1981 Springer-Verlag

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Simis, A. (1981). Multiplicities and Betti numbers of homogeneous ideals. In: Ghione, F., Peskine, C., Sernesi, E. (eds) Space Curves. Lecture Notes in Mathematics, vol 1266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078186

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  • DOI: https://doi.org/10.1007/BFb0078186

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  • Print ISBN: 978-3-540-18020-3

  • Online ISBN: 978-3-540-47708-2

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