$sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$

Details $sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$ $sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$

2011-07-26

arxiv.org/abs/1107.5331v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We show that $sl_2$ conformal block divisors do not cover the nef cone of
$\bar{M}_{0,6}$, or the $S_9$-invariant nef cone of $\bar{M}_{0,9}$. A key
point is to relate the nonvanishing of intersection numbers between these
divisors and F-curves to the nonemptiness of some explicitly defined polytopes.
Several experimental results and some open problems are also included.

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