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

Andrea Bruno; Massimiliano Mella

Journal of the European Mathematical Society (2013)

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

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topBruno, 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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