Rigid resolutions and big Betti numbers

被引：27
|
作者：
Conca, A
Herzog, J
Hibi, T
机构：
[1] DIMA, Dipartimento Matemat, I-16146 Genoa, Italy
[2] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
[3] Univ Duisburg Essen, Fachbereich Math & Informat, D-45117 Essen, Germany
来源：
COMMENTARII MATHEMATICI HELVETICI | 2004年 / 79卷 / 04期
关键词：
free resolutions; generic initial ideals; componentwise linear ideals;
D O I：
10.1007/s00014-004-0812-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Betti-numbers of a graded ideal I in a polynomial ring and the Betti-numbers of its generic initial ideal Gin(I) are compared. In characteristic zero it is shown that if these Betti-numbers coincide in some homological degree, then they coincide in all higher homological degrees. We also compare the Betti-numbers of componentwise linear ideals which are contained in each other and have the same Hilbert polynomial.
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页码：826 / 839
页数：14
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