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 (FMPI / 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, (A 30 pkt)
Issue year2018
Publication size in sheets0.8
ASJC Classification2604 Applied Mathematics; 2605 Computational Mathematics; 2608 Geometry and Topology; 2602 Algebra and Number Theory; 2603 Analysis
Languageen angielski , en angielski
Score (nominal)30
ScoreMinisterial score = 30.0, 30-09-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.743; WoS Impact Factor: 2017 = 1.074 (2) - 2017=0.987 (5)
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