Ideals generated by 2-minors, collections of cells and stack polyominoes
- 作者：Ayesha Asloob Qureshi ayesqi@gmail.com
- 关键词：13C05 ; 13C13 ; 13P10
- 刊名：Journal of Algebra
- 出版年：2012
- 期刊代码：69_00218693
- 类别：mt
- 出版时间：1 May, 2012
- 卷：357
- 期：Complete
- 页码：279-303
- 文件大小：481 K
摘要
In this paper we study ideals generated by quite general sets of 2-minors of an -matrix of indeterminates. The sets of 2-minors are defined by collections of cells and include 2-sided ladders. For convex collections of cells it is shown that the attached ideal of 2-minors is a Cohen-Macaulay prime ideal. Primality is also shown for collections of cells whose connected components are row or column convex. Finally the class group of the ring attached to a stack polyomino and its canonical class is computed, and a classification of the Gorenstein stack polyominoes is given.