The automorphisms group of $\overline{M}_{0,n}$

Details The automorphisms group of $\overline{M}_{0,n}$ The automorphisms group of $\overline{M}_{0,n}$

2010-06-04

arxiv.org/abs/1006.0987v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

In this paper we study fiber type morphisms between moduli spaces of pointed
rational curves. Via Kapranov's description we are able to prove that the only
such morphisms are forgetful maps. This allow us to show that the Automorphism
group of $\overline{M}_{0,n}$ is the permutation group on $n$ elements as soon
as $n\geq 5$.

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