Symmetric F-conjecture for $g\leq 35$

TL;DR

This paper proves the symmetric F-conjecture for the ample cone of moduli spaces of genus g curves and their symmetric quotients for g up to 35, advancing understanding of their geometric properties.

Contribution

It establishes the symmetric F-conjecture for g ≤ 35, providing new insights into the structure of the ample cone of these moduli spaces.

Findings

Proves the symmetric F-conjecture for g ≤ 35

Characterizes the ample cone of ar{M}_{0,g}/S_g and ar{M}_g

Enhances understanding of the geometry of moduli spaces

Abstract

We prove the symmetric F-conjecture describing the ample cone of $\overline{M}_{0,g}/S_g$ and $\overline{M}_g$ for $g\leq 35$.