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arXiv · 1608.05681

Nodal Uniformization of G-bundles

Pablo Solis
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Abstract

We give a survey of uniformization results for principal bundles on curves. We provide a proof of uniformization for nodal curves; this result is a special case of work of Belkale and Fakhruddin for uniformization on singular curves. We use the uniformization result to give a construction of a compactification of the moduli of G bundles on a family of nodal curves. Along the way we also explain how to use equivariant compactifactions of a group to compactify the moduli stack of bundles over a fixed nodal curve.

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Pablo Solis. 2016-08-19. Nodal Uniformization of G-bundles. https://arxiv.org/abs/1608.05681

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