New nef divisors on $\bar{M}_{0,n}$

TL;DR

This paper provides a direct proof of nefness for certain divisors on the moduli space of stable n-pointed rational curves, including all type A level one conformal block divisors, in any characteristic.

Contribution

It introduces a new direct proof technique for nefness of divisors on ar{M}_{0,n}, covering previously unknown cases and all type A level one conformal block divisors.

Findings

Proves nefness of specific divisors in arbitrary characteristic.

Includes all type A level one conformal block divisors.

Identifies divisors previously not known to be nef.

Abstract

We give a direct proof, valid in arbitrary characteristic, of nefness for two families of F-nef divisors on $\bar{M}_{0,n}$. The divisors we consider include all type A level one conformal block divisors as well as divisors previously not known to be nef.