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Equations for Chow and Hilbert quotients
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Gibney, Angela and Maclagan, Diane (2010) Equations for Chow and Hilbert quotients. Algebra & Number Theory, Volume 4 (Number 7). pp. 855-885. doi:10.2140/ant.2010.4.855 ISSN 1937-0652.
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Official URL: http://dx.doi.org/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) over bar (0,n) of stable genus-zero n-pointed curves as a subvariety of a smooth toric variety defined via tropical methods.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Moduli theory, Phylogeny -- Data processing, Group theory, Curves, Toric varieties | ||||
Journal or Publication Title: | Algebra & Number Theory | ||||
Publisher: | Mathematical Sciences Publishers | ||||
ISSN: | 1937-0652 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Volume 4 | ||||
Number: | Number 7 | ||||
Page Range: | pp. 855-885 | ||||
DOI: | 10.2140/ant.2010.4.855 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | National Science Foundation (U.S.) (NSF) | ||||
Grant number: | DMS-0509319, DMS-0500386 (NSF) |
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