Back to Algebraic Geometry Seminar: Fall 2014
Algebraic Geometry Seminar
Date: Tuesday, Sep 2, 2014
Time: 3:30PM - 4:30PM
Location: LCB 225
Yu-Chao Tu
University of Utah
Title |
Higher ramification loci over homogeneous spaces |
Abstract |
Consider a branched covering map from an irreducible projective variety X to a smooth variety Y. In 1980, Gaffney and Lazarsfeld extended the notion of branched locus to “higher ramification loci” which stratifies the branched locus, and they proved that when Y is a projective space, there are anticipated codimension bounds for the loci. I will explain their method with some background, and show that this result is also true when Y is a projective homogeneous space with Picard number 1. |
Algebraic Geometry