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Chow Quotients of Toric Varieties as Moduli of Stable Log Maps

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arxiv 1201.3406 v1 pith:YCFG6MIO submitted 2012-01-17 math.AG

Qile Chen , Matthew Satriano This is my paper · ORCID
classification math.AG
keywords chowmapsmodulistabletoriccoarselydatadefining
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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 $T_0\subset X$.

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  1. Stable map quotients (and orbifold log resolutions) of Richardson varieties

    math.AG 2025-05 conditional novelty 7.0 of 10

    A canonical orbifold resolution of any Richardson variety is constructed from equivariant stable map spaces; its boundary dual complex is the order complex of an open Bruhat interval, and in the Grassmannian case its ...

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