Bounds for the Betti numbers of generalized Cohen-Macaulay ideals-Reference-Cited by-同舟云学术

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Bounds for the Betti numbers of generalized Cohen-Macaulay ideals

Published:1995 Issue:8 Volume:123 Page:2397-2405
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hoa Lê Tuan,Miró-Roig Rosa M.

Abstract

Upper bounds for the Betti numbers of generalized Cohen-Macaulay ideals are given. In particular, for the case of non-degenerate, reduced and irreducible projective curves we get an upper bound which only depends on their degree.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-08/S0002-9939-1995-1254842-1/S0002-9939-1995-1254842-1.pdf

Reference8 articles.

1. Minimal resolutions of some monomial ideals;Eliahou, Shalom;J. Algebra,1990

2. Number of generators of ideals;Elías, Juan;Nagoya Math. J.,1991

3. On a theorem of Castelnuovo, and the equations defining space curves;Gruson, L.;Invent. Math.,1983

4. Bounds for the number of generators of generalized Cohen-Macaulay ideals;Lê Tuấn Hoa;J. Algebra,1995

5. Towards a structure theory for projective varieties of 𝑑𝑒𝑔𝑟𝑒𝑒=𝑐𝑜𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛+2;Hoa, Le Tuan;J. Pure Appl. Algebra,1991

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