06104540

j

06104540 Qureshi, Ayesha Asloob Ideals generated by 2-minors, collections of cells and stack polyominoes. J. Algebra 357, 279-303 (2012). 2012 Elsevier Science (Academic Press), San Diego, CA EN 2-minors of a matrix inner minors class group canonical class stack polyominoe

doi:10.1016/j.jalgebra.2012.01.032

Summary: In this paper we study ideals generated by quite general sets of 2-minors of an $m\times n$-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.