Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces
Grzegorz Gromadzki , Aaron Wooton
AbstractCornalba (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.
|Journal series||Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, ISSN 1578-7303, (A 20 pkt)|
|Publication size in sheets||0.8|
|Language||en angielski , en angielski|
|Score|| = 20.0, 22-01-2019, ArticleFromJournal|
= 30.0, 22-01-2019, ArticleFromJournal
|Publication indicators||: 2017 = 1.074 (2) - 2017=0.987 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.