Let M̄g,nbe the moduli stack parametrizing Deligne-Mumford stable n-pointed genus g curves and let M̄g,nbe its coarse moduli space: the Deligne-Mumford compactification of the moduli space of n-pointed genus g smooth curves. We prove that the automorphism groups of M̄g,nand are isomorphic to the symmetric group on n elements Snfor any g, n such that 2g - 2 + n ≥ 3, and compute the remaining cases. © 2013 London Mathematical Society.
The automorphism group of Mg,n
Massarenti, Alex
Primo
2014
Abstract
Let M̄g,nbe the moduli stack parametrizing Deligne-Mumford stable n-pointed genus g curves and let M̄g,nbe its coarse moduli space: the Deligne-Mumford compactification of the moduli space of n-pointed genus g smooth curves. We prove that the automorphism groups of M̄g,nand are isomorphic to the symmetric group on n elements Snfor any g, n such that 2g - 2 + n ≥ 3, and compute the remaining cases. © 2013 London Mathematical Society.File in questo prodotto:
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