Affine ADE bundles over complex surfaces with p_g=0
Algebraic Geometry
2013-03-25 v1
Abstract
We study simply-laced simple affine Lie algebra bundles over complex surfaces X. Given any Kodaira curve C in X, we construct such a bundle over X. After deformations, it becomes trivial on every irreducible component of C provided that p_g(X)=0. When X is a blowup of P^2 at nine points, there is a canonical E_8-bundle E over X. We show that the geometry of X can be reflected by the deformability of E.
Cite
@article{arxiv.1303.5578,
title = {Affine ADE bundles over complex surfaces with p_g=0},
author = {Yunxia Chen and Naichung Conan Leung},
journal= {arXiv preprint arXiv:1303.5578},
year = {2013}
}
Comments
22pages