Towards Fulton's conjecture

TL;DR

This paper provides a faster, more straightforward proof of Fulton's conjecture concerning the ample cone of the moduli space of stable rational curves with seven marked points.

Contribution

It introduces an alternative proof method that simplifies the original proof of Fulton's conjecture for n=7.

Findings

Proof is significantly quicker and more straightforward

Confirms Fulton's conjecture for n=7

Enhances understanding of the ample cone in moduli spaces

Abstract

We present an alternate proof, much quicker and more straightforward than the original one, of a celebrated Fulton's conjecture on the ample cone of the moduli space of stable rational curves with n marked points in the case n=7.