Winfried Bruns, Aldo Conca
KRS and powers of determinantal ideals
The paper is published: Compositio Math. 111, 111-122 (1998)

MSC:

13A30 Associated graded rings of ideals (Rees ring, form ring) and related topics

Abstract: The goal of this paper is to determine Gröbner bases of
powers of determinantal ideals and to show that the Rees
algebras of (products of) determinantal ideals are normal and Cohen-Macaulay if the
characteristic of the base field is non-exceptional.
Our main combinatorial tool is a generalization of
Schensted's theorem.



Keywords: Knuth-Robinson-Schensted correspondence, determinantal ideal, Rees algebra, initial algebra, Cohen--Macaulay ring
Notes: