GIT Compactifications of M_{0,n} from Conics

Details GIT Compactifications of M_{0,n} from Conics GIT Compactifications of M_{0,n} from Conics

2010-01-16

arxiv.org/abs/1001.2830v2

Mathematics

Algebraic Geometry

16 pages, 5 figures; added concluding section with some examples and applications

Scientific paper

We study GIT quotients parametrizing n-pointed conics that generalize the GIT quotients P1^n//SL2 . Our main result is that \overline{M}_{0,n} admits a morphism to each such GIT quotient, analogous to the well-known result of Kapranov for the simpler P1^n 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.

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