A DEFORMATION OF THE ORLIK-SOLOMON ALGEBRA

被引：0

作者：

Heckenberger, Istvan ^{[1
]}

Welker, Volkmar ^{[1
]}

机构：

[1] Univ Marburg, Fachbereich Math & Informat, D-35032 Marburg, Germany

来源：

MATHEMATICA SCANDINAVICA | 2016年 / 118卷 / 02期

关键词：

HYPERPLANE ARRANGEMENTS; KOSZUL ALGEBRAS; TOPOLOGY; COMBINATORICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A deformation of the Orlik-Solomon algebra of a matroid m is defined as a quotient of the free associative algebra over a commutative ring R with 1. It is shown that the given generators form a Grobner basis and that after suitable homogenization the deformation and the Orlik-Solomon have the same Hilbert series as R-algebras. For supersolvable matroids, equivalently fiber type arrangements, there is a quadratic Grobner basis and hence the algebra is Koszul.

引用

页码：183 / 202

页数：20

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