KRS and powers of determinantal ideals

Autor(en): Bruns, W 
Conca, A
Stichwörter: ALGEBRAS; Cohen-Macaulay ring; determinantal ideal; GROBNER BASES; initial algebra; Knuth-Robinson-Schensted correspondence; Mathematics; Rees algebra; VARIETIES
Erscheinungsdatum: 1998
Herausgeber: CAMBRIDGE UNIV PRESS
Journal: COMPOSITIO MATHEMATICA
Volumen: 111
Ausgabe: 1
Startseite: 111
Seitenende: 122
Zusammenfassung: 
The goal of this paper is to determine Grobner bases of powers of determinantal ideals and to show that the pees 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.
ISSN: 0010437X
DOI: 10.1023/A:1000287107308

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