Browsing by Subject "Compactification"

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  • A compactification of the moduli space of multiple-spin curves 
    Sertöz, Emre Can (Dordrecht [u.a.] : Springer Science + Business Media B.V, 2023)
    We construct a smooth Deligne–Mumford compactification for the moduli space of curves with an m-tuple of spin structures using line bundles on quasi-stable curves as limiting objects, as opposed to line bundles on stacky ...
  • The Deligne–Mumford and the Incidence Variety Compactifications of the Strata of ΩMg 
    Gendron, Quentin (Saint-Martin d'Heres : Institut Fourier, 2018)
    The main goal of this work is to construct and study a reasonable compactification of the strata of the moduli space of abelian differentials. This allows us to compute the Kodaira dimension of some strata of the moduli ...
  • Strata of k-differentials 
    Bainbridge, Matt; Chen, Dawei; Gendron, Quentin; Grushevsky, Samuel; Möller, Martin (Zürich : European Mathematical Society Publishing House, 2019)
    A k-differential on a Riemann surface is a section of the kth power of the canonical line bundle. Loci of k-differentials with prescribed number and multiplicities of zeros and poles form a natural stratification of the ...