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.
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页码：183 / 202
页数：20
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