Geodesic
The automorphism group of $\overline{M}_{0,n}$
Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 949-968.

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The paper studies 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 allows us to show that the automorphism group of M0,n​ is the permutation group on n elements as soon as n≥5.
DOI : 10.4171/jems/382
Classification : 14-XX, 00-XX
Keywords: Moduli space of curves, pointed rational curves, fibrations, automorphism 
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     title = {The automorphism group of $\overline{M}_{0,n}$},
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Andrea Bruno; Massimiliano Mella. The automorphism group of $\overline{M}_{0,n}$. Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 949-968. doi : 10.4171/jems/382. http://geodesic.mathdoc.fr/articles/10.4171/jems/382/

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