On the singular nerve of the moduli space of compact Riemann surfaces

Grzegorz Gromadzki


The singular locus of the moduli space of compact Riemann surfaces of a given genus is known to be the union of certain canonical subsets which can be more easily understood than the whole singular locus itself. However, in order to obtain a global picture (not only a local one) via a description of the glueing, and so to understand the singular locus, the essential issue is to understand the intersection behaviour of these subsets. We study it by means of the nerve of this decomposition, which is a simplicial complex whose geometrical and homological dimensions we investigate.
Author Grzegorz Gromadzki (FMPI / IM)
Grzegorz Gromadzki,,
- Institute of Mathematics
Journal seriesFundamenta Mathematicae, ISSN 0016-2736, (N/A 100 pkt)
Issue year2019
Publication size in sheets1.05
Keywords in EnglishRiemann surface, moduli space of Riemann surfaces, singular locus, automorphisms of Riemann surface, Fuchsian groups, Riemann uniformization theorem
ASJC Classification2602 Algebra and Number Theory
URL https://www.impan.pl/shop/en/publication/transaction/download/product/112548
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 17-11-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.844; WoS Impact Factor: 2018 = 0.584 (2) - 2018=0.663 (5)
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