Scaling of conformal blocks and generalized theta functions over bar{M}_(g,n)
classification
🧮 math.AG
keywords
blocksbundlescertainconformalgeometricholdinterpretationsample
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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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