English

SL(2)-regular Subvarieties of Complete Quadrics

Algebraic Geometry 2011-11-01 v1 Group Theory

Abstract

We determine SL(n)-stable, SL(2)-regular subvarieties of the variety of complete quadrics. We extend the results of Aky{\i}ld{\i}z and Carrell on Kostant-Macdonald identity by computing the Poincar{\'e} polynomials of these regular subvarieties.

Cite

@article{arxiv.1110.6558,
  title  = {SL(2)-regular Subvarieties of Complete Quadrics},
  author = {Mahir Bilen Can and Michael Joyce},
  journal= {arXiv preprint arXiv:1110.6558},
  year   = {2011}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-21T19:27:56.374Z