University of North Carolina at Chapel Hill Graduate School
Doi
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 Tσ-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