Uniformization of Deligne-Mumford curves

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dc.creatorBehrend, K.
dc.creatorNoohi, B.
dc.date2005-04-14
dc.date.accessioned2026-07-07T05:19:07Z
dc.date.available2026-07-07T05:19:07Z
dc.descriptionWe compute the fundamental groups of non-singular analytic Deligne-Mumford curves, classify the simply connected ones, and classify analytic Deligne-Mumford curves by their uniformization type. As a result, we find an explicit presentation of an arbitrary Deligne-Mumford curve as a quotient stack. Along the way, we compute the automorphism 2-groups of weighted projective stacks $\mathcal{P}(n_1,n_2,...,n_r)$. We also discuss connections with the theory of F-groups, 2-groups, and Bass-Serre theory of graphs of groups.
dc.description39 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0504309
dc.identifierhttp://arxiv.org/abs/math/0504309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74904
dc.subjectAlgebraic Geometry
dc.subject14A20, 14H30, 30F10, 30F20
dc.titleUniformization of Deligne-Mumford curves
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