Seckin Adali : Singularities of Restriction Varieties

Posted by Seckin Adali , part of the Graduate Algebraic Geometry Seminar.

At

Feb. 29, 2016, 4 p.m.

In

SEO 712

Abstract

Restriction varieties in the orthogonal Grassmannian are subvarieties of $OG(k, n)$ defined by rank conditions given by a flag that is not necessarily isotropic with respect to the relevant symmetric bilinear form. In particular orthogonal Schubert varieties are examples of restriction varieties. In this talk, I will describe a resolution of singularities for restriction varieties and give a smoothness criterion. The image of the exceptional locus of this resolution gives the singular locus of a restriction variety which allows an algorithm for the singular locus. I will illustrate these results with examples.