Graduate Student Colloquium
Lei Song
UIC
A generalization of Kempf's singularity theorem
Abstract: Given a smooth complex projective variety $X$, the line bundles on X having nontrivial sections form a closed subset $W^0(X)$ of the Picard scheme of X.
I will show that if every divisor $D$ in a fixed linear system $|L|$ is semi-regular, then there exists a Zariski open neighborhood of $L$ on $W^0(X)$ which has at worst rational singularities.
This generalizes Kempf's result for curves.
Monday October 7, 2013 at 5:30 PM in SEO 636