Degeneracy Schemes and Schubert Varieties
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
A result of Zelevinsky states that an orbit closure in the space of representations of the equioriented quiver of type is in bijection with the opposite cell in a Schubert variety of a partial flag variety . We prove that Zelevinsky's bijection is a scheme-theoretic isomorphism, which shows that the universal degeneracy schemes of Fulton are reduced and Cohen-Macaulay in arbitrary characteristic.
Cite
@article{arxiv.alg-geom/9709018,
title = {Degeneracy Schemes and Schubert Varieties},
author = {V. Lakshmibai and Peter Magyar},
journal= {arXiv preprint arXiv:alg-geom/9709018},
year = {2008}
}
Comments
16 pp, Northeastern University, Latex