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arXiv · 0707.1801

Equations for Chow and Hilbert Quotients

Angela Gibney·Diane Maclagan
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Abstract

We give explicit equations for the Chow and Hilbert quotients of a projective scheme X by the action of an algebraic torus T in an auxiliary toric variety. As a consequence we provide GIT descriptions of these canonical quotients, and obtain other GIT quotients of X by variation of GIT quotient. We apply these results to find equations for the moduli space \bar{M}_{0,n} of stable genus zero n-pointed curves as a subvariety of a smooth toric variety defined via tropical methods.

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Angela Gibney, Diane Maclagan. 2009-05-29. Equations for Chow and Hilbert Quotients. https://arxiv.org/abs/0707.1801

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