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An affine open covering of \({\mathcal{M}_g}\) for g ≤ 5

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Abstract

We prove that the moduli space \({\mathcal{M}_g}\) of smooth curves of genus g is the union of g−1 affine open subsets for every g with 2 ≤ g ≤ 5, as predicted by an intriguing conjecture of Eduard Looijenga.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá degli Studi di Trento, Via Sommarive 14, 38123, Trento, Italy

    Claudio Fontanari

  2. Dipartimento di Matematica “Guido Castelnuovo”, Universitá di Roma “La Sapienza”, P.le Aldo Moro 5, 00185, Roma, Italy

    Stefano Pascolutti

Authors
  1. Claudio Fontanari
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  2. Stefano Pascolutti
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Correspondence to Claudio Fontanari.

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Fontanari, C., Pascolutti, S. An affine open covering of \({\mathcal{M}_g}\) for g ≤ 5. Geom Dedicata 158, 61–68 (2012). https://doi.org/10.1007/s10711-011-9620-1

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  • DOI: https://doi.org/10.1007/s10711-011-9620-1

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