SL(2)-regular Subvarieties of Complete Quadrics
Mahir Bilen Can, Michael Joyce
TL;DR
This paper classifies certain stable subvarieties within the variety of complete quadrics and extends known identities by computing their Poincaré polynomials, advancing understanding of their geometric and algebraic properties.
Contribution
It identifies SL(2)-regular subvarieties of complete quadrics and extends Kostant-Macdonald identity results to these cases.
Findings
Classification of SL(2)-regular subvarieties
Computation of Poincaré polynomials for these subvarieties
Extension of Kostant-Macdonald identity results
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCoding theory and cryptography · Algebraic structures and combinatorial models · Advanced Algebra and Geometry