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arXiv · 1606.08726

On finite generation of the section ring of the determinant of cohomology line bundle

Prakash Belkale·Angela Gibney
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Abstract

For $C$ a stable curve of arithmetic genus $g\ge 2$, and $\mathcal{D}$ the determinant of cohomology line bundle on $\operatorname{Bun}_{\operatorname{SL}(r)}(C)$, we show the section ring for the pair $(\operatorname{Bun}_{\operatorname{SL}(r)}(C), \mathcal{D})$ is finitely generated. Three applications are given.

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Prakash Belkale, Angela Gibney. 2016-06-28. On finite generation of the section ring of the determinant of cohomology line bundle. https://arxiv.org/abs/1606.08726

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