Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces

Grzegorz Gromadzki , Aaron Wooton


Cornalba (Ann Mat Pura Appl 149:135–151, 1987) classified the components of the singular locus of the moduli space of compact Riemann surfaces of genus g≥2. Here we consider the problem of describing the intersections of these components by examining certain nerves of the cover of singular locus that the Cornalba components provide. We give a description of the 1-skeleton of such nerves which significantly extends the results of our earlier paper written together with A. Weaver where we considered a coarser cover of the singular locus. We compare the results of our earlier work with those of the present one in terms of certain natural simplicial covering maps between them.
Author Grzegorz Gromadzki IM
Grzegorz Gromadzki,,
- Institute of Mathematics
, Aaron Wooton
Aaron Wooton,,
Journal seriesRevista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, ISSN 1578-7303
Issue year2018
Noonline first
Publication size in sheets0.8
Languageen angielski , en angielski
Score (nominal)30
ScoreMinisterial score = 20.0, 23-02-2018, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 23-02-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.69 (2) - 2016=0.729 (5)
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