Maximal Betti numbers

被引:6
|
作者
Chardin, M [1 ]
Gasharov, V
Peeva, I
机构
[1] Univ Paris 06, Inst Math, CNRS, UMR 7586, F-75252 Paris, France
[2] Cornell Univ, Dept Math, Ithaca, NY 14850 USA
关键词
D O I
10.1090/S0002-9939-02-06471-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide a short proof that the lexicographic ideal has the greatest Betti numbers among all graded ideals with a fixed Hilbert function.
引用
收藏
页码:1877 / 1880
页数:4
相关论文
共 50 条
  • [21] CURVATURE AND BETTI NUMBERS
    BOCHNER, S
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (01) : 60 - 60
  • [22] COVERINGS AND BETTI NUMBERS
    ECKMANN, B
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (02) : 95 - 101
  • [23] Betti numbers of subgraphs
    Ha, Huy Tai
    Ho, Duc
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2015, 63 : 182 - 195
  • [24] Minimal Betti numbers
    Dodd, Christopher
    Marks, Andrew
    Meyerson, Victor
    Richert, Ben
    COMMUNICATIONS IN ALGEBRA, 2007, 35 (03) : 759 - 772
  • [25] Approximating l2-Betti numbers of an amenable covering by ordinary Betti numbers
    Eckmann, B
    COMMENTARII MATHEMATICI HELVETICI, 1999, 74 (01) : 150 - 155
  • [26] BETTI NUMBERS OF GAUSSIAN FIELDS
    Park, Changbom
    Pranav, Pratyush
    Chingangbam, Pravabati
    van de Weygaert, Rien
    Jones, Bernard
    Vegter, Gert
    Kim, Inkang
    Hidding, Johan
    Hellwing, Wojciech A.
    JOURNAL OF THE KOREAN ASTRONOMICAL SOCIETY, 2013, 46 (03) : 125 - 131
  • [27] Betti numbers of the HOMFLYPT homology
    Wu, Hao
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2018, 27 (14)
  • [28] BETTI NUMBERS OF PIECEWISELEX IDEALS
    Jamroz, Christina
    Sosa, Gabriel
    JOURNAL OF COMMUTATIVE ALGEBRA, 2018, 10 (03) : 339 - 345
  • [29] BETTI NUMBERS OF BUCHSBAUM COMPLEXES
    BJORNER, A
    HIBI, T
    MATHEMATICA SCANDINAVICA, 1990, 67 (02) : 193 - 196
  • [30] INTERSECTION HOMOLOGY BETTI NUMBERS
    DURFEE, AH
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (04) : 989 - 993