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SL(2)-regular Subvarieties of Complete Quadrics

arXiv:1110.6558

Abstract

We determine SL(n)-stable, SL(2)-regular subvarieties of the variety of complete quadrics. We extend the results of Akyıldız and Carrell on Kostant-Macdonald identity by computing the Poincar{é} polynomials of these regular subvarieties.

20 pages, 1 figure