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2010 Equations for Chow and Hilbert quotients
Angela Gibney, Diane Maclagan
Algebra Number Theory 4(7): 855-885 (2010). DOI: 10.2140/ant.2010.4.855

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 geometric invariant theory 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 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. "Equations for Chow and Hilbert quotients." Algebra Number Theory 4 (7) 855 - 885, 2010. https://doi.org/10.2140/ant.2010.4.855

Information

Received: 29 May 2009; Revised: 17 February 2010; Accepted: 5 May 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1210.14051
MathSciNet: MR2776876
Digital Object Identifier: 10.2140/ant.2010.4.855

Subjects:
Primary: 14L30
Secondary: 14H10 , 14L24 , 14M25

Keywords: chow quotient , Hilbert quotient , moduli of curves , space of phylogenetic trees

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.4 • No. 7 • 2010
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