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Maximal Betti numbers
被引:6
作者
:
Chardin, M
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 06, Inst Math, CNRS, UMR 7586, F-75252 Paris, France
Univ Paris 06, Inst Math, CNRS, UMR 7586, F-75252 Paris, France
Chardin, M
[
1
]
Gasharov, V
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 06, Inst Math, CNRS, UMR 7586, F-75252 Paris, France
Gasharov, V
Peeva, I
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 06, Inst Math, CNRS, UMR 7586, F-75252 Paris, France
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
来源
:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
|
2002年
/ 130卷
/ 07期
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 7 条
[1]
Resolutions of monomial ideals and cohomology over exterior algebras
Aramova, A
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Aramova, A
Avramov, LL
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Avramov, LL
Herzog, J
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Herzog, J
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
352
(02)
: 579
-
594
[2]
Squarefree lexsegment ideals
Aramova, A
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Aramova, A
Herzog, J
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Herzog, J
Hibi, T
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Hibi, T
[J].
MATHEMATISCHE ZEITSCHRIFT,
1998,
228
(02)
: 353
-
378
[3]
UPPER-BOUNDS FOR THE BETTI NUMBERS OF A GIVEN HILBERT FUNCTION
BIGATTI, AM
论文数:
0
引用数:
0
h-index:
0
机构:
Dipartimento di Matematica dell'Università di Genova, 1-16132, Genova
BIGATTI, AM
[J].
COMMUNICATIONS IN ALGEBRA,
1993,
21
(07)
: 2317
-
2334
[4]
EISENBUD D, IN PRESS T AM MATH S
[5]
MINIMAL RESOLUTIONS OF SOME MONOMIAL IDEALS
ELIAHOU, S
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0
引用数:
0
h-index:
0
机构:
Departamento de Matematicas, Cinvestav-IPN, Mexico, Distrito Federal 07000
ELIAHOU, S
KERVAIRE, M
论文数:
0
引用数:
0
h-index:
0
机构:
Departamento de Matematicas, Cinvestav-IPN, Mexico, Distrito Federal 07000
KERVAIRE, M
[J].
JOURNAL OF ALGEBRA,
1990,
129
(01)
: 1
-
25
[6]
Green ML, 1998, PROG MATH, V166, P119
[7]
MAXIMUM BETTI NUMBERS OF HOMOGENEOUS IDEALS WITH A GIVEN HILBERT FUNCTION
HULETT, HA
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Illinois, Urbana, Illinois, 61801
HULETT, HA
[J].
COMMUNICATIONS IN ALGEBRA,
1993,
21
(07)
: 2335
-
2350
←
1
→
共 7 条
[1]
Resolutions of monomial ideals and cohomology over exterior algebras
Aramova, A
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Aramova, A
Avramov, LL
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Avramov, LL
Herzog, J
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Herzog, J
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
352
(02)
: 579
-
594
[2]
Squarefree lexsegment ideals
Aramova, A
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Aramova, A
Herzog, J
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Herzog, J
Hibi, T
论文数:
0
引用数:
0
h-index:
0
机构:
Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
Hibi, T
[J].
MATHEMATISCHE ZEITSCHRIFT,
1998,
228
(02)
: 353
-
378
[3]
UPPER-BOUNDS FOR THE BETTI NUMBERS OF A GIVEN HILBERT FUNCTION
BIGATTI, AM
论文数:
0
引用数:
0
h-index:
0
机构:
Dipartimento di Matematica dell'Università di Genova, 1-16132, Genova
BIGATTI, AM
[J].
COMMUNICATIONS IN ALGEBRA,
1993,
21
(07)
: 2317
-
2334
[4]
EISENBUD D, IN PRESS T AM MATH S
[5]
MINIMAL RESOLUTIONS OF SOME MONOMIAL IDEALS
ELIAHOU, S
论文数:
0
引用数:
0
h-index:
0
机构:
Departamento de Matematicas, Cinvestav-IPN, Mexico, Distrito Federal 07000
ELIAHOU, S
KERVAIRE, M
论文数:
0
引用数:
0
h-index:
0
机构:
Departamento de Matematicas, Cinvestav-IPN, Mexico, Distrito Federal 07000
KERVAIRE, M
[J].
JOURNAL OF ALGEBRA,
1990,
129
(01)
: 1
-
25
[6]
Green ML, 1998, PROG MATH, V166, P119
[7]
MAXIMUM BETTI NUMBERS OF HOMOGENEOUS IDEALS WITH A GIVEN HILBERT FUNCTION
HULETT, HA
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Illinois, Urbana, Illinois, 61801
HULETT, HA
[J].
COMMUNICATIONS IN ALGEBRA,
1993,
21
(07)
: 2335
-
2350
←
1
→