Free Resolutions of Some Schubert Singularities in the Lagrangian Grassmannian
Algebraic Geometry
2017-10-27 v2
Abstract
In this paper we construct free resolutions of certain class of closed subvarieties of affine space of symmetric matrices (of a given size). Our class covers the symmetric determinantal varieties (i.e., determinantal varieties in the space of symmetric matrices), whose resolutions were first constructed by J\'ozefiak-Pragacz-Weyman. Our approach follows the techniques developed in Free Resolutions of Some Schubert Singularities by Kummini-Lakshmibai-Sastry-Seshadri, and uses the geometry of Schubert varieties.
Keywords
Cite
@article{arxiv.1505.07876,
title = {Free Resolutions of Some Schubert Singularities in the Lagrangian Grassmannian},
author = {Venkatramani Lakshmibai and Reuven Hodges},
journal= {arXiv preprint arXiv:1505.07876},
year = {2017}
}
Comments
21 Pages, rewrote and revised some background material, updated introduction, fixed some typos, revised some proofs