Chern classes of conformal blocks
Algebraic Geometry
2011-05-10 v4
Abstract
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.
Keywords
Cite
@article{arxiv.0904.2918,
title = {Chern classes of conformal blocks},
author = {Najmuddin Fakhruddin},
journal= {arXiv preprint arXiv:0904.2918},
year = {2011}
}
Comments
Some typos fixed. Added a remark in Section 6 on nef divisors in higher genus