Free resolutions of some Schubert singularities
Algebraic Geometry
2015-04-20 v1 Commutative Algebra
Abstract
In this paper we construct free resolutions of certain class of closed subvarieties of affine spaces (the so-called "opposite big cells" of Grassmannians). Our class covers the determinantal varieties, whose resolutions were first constructed by A. Lascoux (Adv. Math., 1978). Our approach uses the geometry of Schubert varieties. An interesting aspect of our work is its connection to the computation of the cohomology of homogeneous bundles (that are not necessarily completely reducible) on partial flag varieties.
Cite
@article{arxiv.1504.04415,
title = {Free resolutions of some Schubert singularities},
author = {Manoj Kummini and V. Lakshmibai and Pramathanath Sastry and C. S. Seshadri},
journal= {arXiv preprint arXiv:1504.04415},
year = {2015}
}
Comments
23 pages