JournalsjemsVol. 15, No. 3pp. 949–968

The automorphism group of M0,n\overline{M}_{0,n}

  • Andrea Bruno

    Università degli studi Roma Tre, Italy
  • Massimiliano Mella

    Università di Ferrara, Italy
The automorphism group of $\overline{M}_{0,n}$ cover
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Abstract

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\overline{M}_{0,n} is the permutation group on n elements as soon as n ≥ 5.

Cite this article

Andrea Bruno, Massimiliano Mella, The automorphism group of M0,n\overline{M}_{0,n}. J. Eur. Math. Soc. 15 (2013), no. 3, pp. 949–968

DOI 10.4171/JEMS/382