Decompositions of Betti Diagrams of Powers of Monomial Ideals: A Stability Conjecture

被引：2

作者：

Engstrom, Alexander ^{[1
]}

机构：

[1] Aalto Univ, Dept Math, Espoo, Finland

来源：

COMBINATORIAL METHODS IN TOPOLOGY AND ALGEBRA | 2015年 / 12卷

关键词：

MODULES; NUMBERS;

D O I：

10.1007/978-3-319-20155-9_8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any fixed monomial ideals the resolution of high enough powers are predictable. To actually gain explicit information about the stable behavior of projective resolutions of high powers is rather non-trivial if the ideals aren't particularly well behaved. We describe how the asymptotic decomposition of Betti tables of high powers can be conjecturally described using polytopes as a new invariant for the stable regime.

引用

页码：37 / 40

页数：4