Twisted Affine Schubert Varieties and Twisted Affine Demazure Modules

Abstract

This work studies line bundles of level one on twisted affine Schubert varieties. Following work of Zhu, we describe the restriction map from global sections of a level one line bundle to the $T^{\sigma}$-fixed subscheme. Our technique uses global methods and studies this map using the associated map for untwisted affine Schubert varieties. As a corollary we are able to describe the smooth locus of many twisted affine Schubert varieties.Doctor of Philosoph