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Normality of Ladder Determinantal Rings

✍ Scribed by J.V. Motwani; M.A. Sohoni

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
161 KB
Volume
186
Category
Article
ISSN
0021-8693

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✦ Synopsis

We prove that ladder determinantal rings where the determinantal ideals are . generated by mixed size minors are normal.

πŸ“œ SIMILAR VOLUMES

Ladder Determinantal Rings Have Rational
Ladder Determinantal Rings Have Rational Singularities
✍ Aldo Conca; JΓΌrgen Herzog πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 386 KB

In this paper we use tight closure and Gro bner basis theory to prove that ladder determinantal rings have rational singularities. We show that the ladder determinantal rings of a certain class of ladders, which we call wide ladders, are F-rational. Though F-rationality is only defined in positive

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We relate certain ladder determinantal varieties (associated to one-sided ladders) to certain Schubert varieties in SL n /Q, for a suitable n and a suitable parabolic subgroup Q, and we determine the singular loci of these varieties. We state a conjecture on the irreducible components of the singula