Decomposition of graded local cohomology tables

被引：1

作者：

De Stefani, Alessandro ^{[1
]}

Smirnov, Ilya ^{[2
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 297卷 / 1-2期

关键词：

Local cohomology; Decomposition of cohomology tables; Boij-Soderberg theory; BOIJ-SODERBERG THEORY; BETTI-NUMBERS; MODULES;

D O I：

10.1007/s00209-020-02494-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a polynomial ring over a field. We describe the extremal rays and the facets of the cone of local cohomology tables of finitely generated graded R-modules of dimension at most two. Moreover, we show that any point inside the cone can be written as a finite linear combination, with positive rational coefficients, of points belonging to the extremal rays of the cone. We also provide algorithms to obtain decompositions in terms of extremal points and facets.

引用

页码：1 / 24

页数：24

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