Chern classes of conformal blocks

Mathematics – Algebraic Geometry

Scientific paper

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Some typos fixed. Added a remark in Section 6 on nef divisors in higher genus

Scientific paper

We derive a formula for the Chern classes of the bundles of conformal blocks
on \bar{M}_{0,n} associated to simple finite dimensional Lie algebras and
explore its consequences in more detail for sl_2 and in general for level 1. We
also give a method for computing the first Chern class of such bundles on
\bar{M}_{g,n} for g>0.

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