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arXiv · 1505.07876

Free Resolutions of Some Schubert Singularities in the Lagrangian Grassmannian

Venkatramani Lakshmibai·Reuven Hodges
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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.

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Venkatramani Lakshmibai, Reuven Hodges. 2015-05-28. Free Resolutions of Some Schubert Singularities in the Lagrangian Grassmannian. https://arxiv.org/abs/1505.07876

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