Chow Quotients of Toric Varieties as Moduli of Stable Log Maps

Details Chow Quotients of Toric Varieties as Moduli of Stable Log Maps Chow Quotients of Toric Varieties as Moduli of Stable Log Maps

2012-01-17

arxiv.org/abs/1201.3406v1

Mathematics

Algebraic Geometry

Scientific paper

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
$T_0\subset X$.

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