Optimal Betti numbers of forest ideals

被引：0

作者：

Goff, Michael ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2009年 / 16卷 / 01期

关键词：

MONOMIAL IDEALS; MODULES; RESOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a tight lower bound on the algebraic Betti numbers of tree and forest ideals and an upper bound on certain graded Betti numbers of squarefree monomial ideals.

引用

页数：12

共 21 条

[1]

[Anonymous], 2005, Combinatorial Commutative Algebra, volume 227 of Graduate Texts in Mathematics

[2] UPPER-BOUNDS FOR THE BETTI NUMBERS OF A GIVEN HILBERT FUNCTION [J].

BIGATTI, AM .

COMMUNICATIONS IN ALGEBRA, 1993, 21 (07) :2317-2334

[3] Betti numbers of Zn-graded modules [J].

Brun, M ;

Römer, T .

COMMUNICATIONS IN ALGEBRA, 2004, 32 (12) :4589-4599

[4] BETTI NUMBERS OF MULTIGRADED MODULES [J].

CHARALAMBOUS, H .

JOURNAL OF ALGEBRA, 1991, 137 (02) :491-500

[5] Specializations of Ferrers ideals [J].

Corso, Alberto ;

Nagel, Uwe .

JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 28 (03) :425-437

[6]

Corso A, 2009, T AM MATH SOC, V361, P1371

[7]

DUVAL A, T AM MATH S IN PRESS

[8] Restricting linear syzygies: algebra and geometry [J].

Eisenbud, D ;

Green, M ;

Hulek, K ;

Popescu, S .

COMPOSITIO MATHEMATICA, 2005, 141 (06) :1460-1478

[9] BINOMIAL BEHAVIOR OF BETTI NUMBERS FOR MODULES OF FINITE LENGTH [J].

EVANS, EG ;

GRIFFITH, P .

PACIFIC JOURNAL OF MATHEMATICS, 1988, 133 (02) :267-276

[10]

GOFF M, J PURE APPL IN PRESS

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