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Irregular and Singular Loci of Commuting Varieties

✍ Scribed by Vladimir L. Popov

Publisher
SP Birkhäuser Verlag Boston
Year
2008
Tongue
English
Weight
427 KB
Volume
13
Category
Article
ISSN
1083-4362

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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