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Article Dans Une Revue Journal of Differential Geometry Année : 2014

An analytic construction of the Deligne-Mumford compactification of the moduli space of curves

Résumé

In 1969, P. Deligne and D. Mumford compactified the moduli space of curves. Their compactification is a projective algebraic variety, and as such, it has an underlying analytic structure. Alternatively, the quotient of the augmented Teichmueller space by the action of the mapping class group gives a compactification of the moduli space. We put an analytic structure on this compact quotient and prove that with respect to this structure, it is canonically isomorphic (as an analytic space) to the Deligne-Mumford compactification.

Dates et versions

hal-01297677 , version 1 (04-04-2016)

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John H. Hubbard, Sarah Koch. An analytic construction of the Deligne-Mumford compactification of the moduli space of curves. Journal of Differential Geometry, 2014, 98 (2), pp.261--313. ⟨hal-01297677⟩
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