2012/11/05 by Kosuke Fukumuro, Fukumuro, Kosuke, Taro Inagawa +3 · 1 citation
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC
paper · pdf · doi:10.48550/arxiv.1211.0738
arxiv created 2012/11/05 · arxiv updated 2012/11/06
Let (R, m) be a Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex of length 3 which is an R-free resolution of an ideal I of R is given. In this paper, we describe a concrete procedure to get an acyclic complex of length 3 that becomes an R-free resolution of I : Q. As an application, we compute the symbolic powers of ideals generated by maximal minors of certain 2 x 3 matrices.