Mori's program for the moduli space of pointed stable rational curves

Details Mori's program for the moduli space of pointed stable rational curves Mori's program for the moduli space of pointed stable rational curves

2010-11-17

arxiv.org/abs/1011.3926v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

We prove that, assuming the F-conjecture, the log canonical model of the pair $(\bar{M}_{0,n}, \sum a_i \psi_i)$ is the Hassett's moduli space of weighted pointed stable rational curves without any modification of weight coefficients. For the boundary weight cases, we prove that the birational model is the GIT quotient of the product of the projective lines. This is a generalization of Simpson's theorem for symmetric weight cases.

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