Effective cone of $overline{M}_{0,n}$ for odd $n$

Abstract

In this work, we compute the effective cone of the space of $n$ pointed genus 0 rational curves, $\bar{M}_{0,n}$ for odd $n$. We will, in fact, use the equivalence of $\bar{M}_{0,n}$ and the space of (semi) stable configurations of $n$ weighted points on $\mathbb{CP}^{1}$ with special weight $(1,..., 1)$ up to symmetric group action.