GIT compactifications of ̄0,n from conics

Noah Giansiracusa; Matthew Simpson

doi:10.1093/imrn/rnq228

GIT compactifications of ̄0,n from conics

Noah Giansiracusa
, Matthew Simpson

Mathematical Sciences

Research output: Contribution to journal › Article

Abstract

We study geometric invariant theory (GIT) quotients parameterizing n-pointed conics that generalize the GIT quotients. Our main result is that admits a morphism to each such GIT quotient, generalizing the well-known result of Kapranov for the simpler quotients. Moreover, these morphisms factor through Hassett's moduli spaces of weighted pointed rational curves, where the weight data comes from the GIT linearization data. © 2010 The Author(s).

Original language	English
Pages (from-to)	3315-3334
Journal	International Mathematics Research Notices
Volume	2011
Issue number	Issue 14
DOIs	https://doi.org/10.1093/imrn/rnq228
State	Published - 2011

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title = "GIT compactifications of{\= }0,n from conics",

abstract = "We study geometric invariant theory (GIT) quotients parameterizing n-pointed conics that generalize the GIT quotients. Our main result is that admits a morphism to each such GIT quotient, generalizing the well-known result of Kapranov for the simpler quotients. Moreover, these morphisms factor through Hassett's moduli spaces of weighted pointed rational curves, where the weight data comes from the GIT linearization data. {\textcopyright} 2010 The Author(s).",

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AU - Giansiracusa, Noah

AU - Simpson, Matthew

PY - 2011

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AB - We study geometric invariant theory (GIT) quotients parameterizing n-pointed conics that generalize the GIT quotients. Our main result is that admits a morphism to each such GIT quotient, generalizing the well-known result of Kapranov for the simpler quotients. Moreover, these morphisms factor through Hassett's moduli spaces of weighted pointed rational curves, where the weight data comes from the GIT linearization data. © 2010 The Author(s).

UR - https://dx.doi.org/10.1093/imrn/rnq228

U2 - 10.1093/imrn/rnq228

DO - 10.1093/imrn/rnq228

M3 - Article

VL - 2011

SP - 3315

EP - 3334

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - Issue 14

ER -

GIT compactifications of ̄0,n from conics

Abstract

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