Orbifolds and the Modular Curve

Juan Martín Pérez () and Florent Schaffhauser ()
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Juan Martín Pérez: Freie Universität Berlin
Florent Schaffhauser: Universität Heidelberg, Mathematisches Institut

Chapter Chapter 11 in In the Tradition of Thurston III, 2024, pp 365-421 from Springer

Abstract: Abstract We provide an account of the construction of the moduli stack of elliptic curves as an analytic orbifold. While intimately linked to Thurston’s point of view on the subject (discrete groups acting properly and effectively on differentiable manifolds), the construction of the modular orbi-curve and its universal family of elliptic curves ends up requiring a bit more technology, in order to allow for non-effective actions.

Keywords: Stacks and moduli problems; Complex-analytic moduli problems; Primary 14D23; Secondary 32G13 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-43502-7_11

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DOI: 10.1007/978-3-031-43502-7_11

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