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arXiv · 1402.0254

Degenerations of Godeaux surfaces and exceptional vector bundles

Anna Kazanova
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Abstract

A recent construction of Hacking relates the classification of stable vector bundles on a surface of general type with $p_g = 0$ and the boundary of the moduli space of deformations of the surface. In the present paper we analyze this relation for Godeaux surfaces. We provide a description of certain boundary components of the moduli space of Godeaux surfaces. Also we explicitly construct certain exceptional vector bundles of rank 2 on Godeaux surfaces, stable with respect to the canonical class, and examine the correspondence between the boundary components and such exceptional vector bundles.

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Anna Kazanova. 2014-02-02. Degenerations of Godeaux surfaces and exceptional vector bundles. https://arxiv.org/abs/1402.0254

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