Chow Quotients of Toric Varieties as Moduli of Stable Log Maps

Abstract

Let $X$ be a projective normal toric variety and $T_0$ a rank one subtorus of the defining torus of $X$. We show that the normalization of the Chow quotient $X//T_0$, in the sense of Kapranov-Sturmfels-Zelevinsky, coarsely represents the moduli space of stable log maps to $X$ with discrete data given by $T_0\subset X$.

References in corpus (2)

• Stable logarithmic maps to Deligne--Faltings pairs II
• The Evaluation Space of Logarithmic Stable Maps

Cited by in corpus (1)

• Compactifications of spaces of Landau-Ginzburg models