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arXiv · 1303.5578

Affine ADE bundles over complex surfaces with p_g=0

Yunxia Chen·Naichung Conan Leung
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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.

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Yunxia Chen, Naichung Conan Leung. 2013-03-22. Affine ADE bundles over complex surfaces with p_g=0. https://arxiv.org/abs/1303.5578

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