| KRS and powers of determinantal ideals (1998) | |||||||||||||||
Abstract | |||||||||||||||
| Abstract. The goal of this paper is to determine Grobner 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 result is a generalization of Schensted's theorem on the Knuth--Robinson--Schensted correspondence. 1. | |||||||||||||||
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