The automorphism group of M ¯ 0 , n

Andrea Bruno; Massimiliano Mella

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 3, page 949-968
  • ISSN: 1435-9855

Abstract

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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 M ¯ 0 , n is the permutation group on n elements as soon as n 5 .

How to cite

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Bruno, Andrea, and Mella, Massimiliano. "The automorphism group of $\overline{M}_{0,n}$." Journal of the European Mathematical Society 015.3 (2013): 949-968. <http://eudml.org/doc/277777>.

@article{Bruno2013,
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 $\overline\{M\}_\{0,n\}$ is the permutation group on $n$ elements as soon as $n\ge 5$.},
author = {Bruno, Andrea, Mella, Massimiliano},
journal = {Journal of the European Mathematical Society},
keywords = {moduli space of curves; pointed rational curves; fibrations; automorphism; Cremona transformation; moduli space of curves; rational normal curves; Cremona transformation; automorphism group},
language = {eng},
number = {3},
pages = {949-968},
publisher = {European Mathematical Society Publishing House},
title = {The automorphism group of $\overline\{M\}_\{0,n\}$},
url = {http://eudml.org/doc/277777},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Bruno, Andrea
AU - Mella, Massimiliano
TI - The automorphism group of $\overline{M}_{0,n}$
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 3
SP - 949
EP - 968
AB - 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 $\overline{M}_{0,n}$ is the permutation group on $n$ elements as soon as $n\ge 5$.
LA - eng
KW - moduli space of curves; pointed rational curves; fibrations; automorphism; Cremona transformation; moduli space of curves; rational normal curves; Cremona transformation; automorphism group
UR - http://eudml.org/doc/277777
ER -

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