Equations for Chow and Hilbert Quotients

Details Equations for Chow and Hilbert Quotients Equations for Chow and Hilbert Quotients

2007-07-12

arxiv.org/abs/0707.1801v2

Mathematics

Algebraic Geometry

26 pages, 1 figure. Exposition improved

Scientific paper

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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