On the irreducibility of the space of genus zero stable log maps to wonderful compactifications

TL;DR

This paper proves that the moduli spaces of genus zero stable log maps to a broad class of wonderful compactifications are both irreducible and unirational, advancing understanding in algebraic geometry.

Contribution

It establishes the irreducibility and unirationality of these moduli spaces for a large class of wonderful compactifications, a new result in the field.

Findings

Moduli spaces are irreducible.

Moduli spaces are unirational.

Applicable to a broad class of compactifications.

Abstract

In this paper, we prove the moduli spaces of genus zero stable log maps to a large class of wonderful compactifications are irreducible and unirational.