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arXiv · 1412.7204

Scaling of conformal blocks and generalized theta functions over $\bar{M}_{g,n}$

Prakash Belkale·Angela Gibney·Anna Kazanova
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Abstract

By way of intersection theory on $\bar M_{g,n}$, we show that geometric interpretations for conformal blocks, as sections of ample line bundles over projective varieties, do not have to hold at points on the boundary. We show such a translation would imply certain recursion relations for first Chern classes of these bundles. While recursions can fail, geometric interpretations are shown to hold under certain conditions.

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Prakash Belkale, Angela Gibney, Anna Kazanova. 2014-12-22. Scaling of conformal blocks and generalized theta functions over $\bar{M}_{g,n}$. https://arxiv.org/abs/1412.7204

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