Connecting $$p$$ p -gonal loci in the compactification of moduli space
نویسندگان
چکیده
منابع مشابه
Connecting p-gonal loci in the compactification of moduli space
Consider the moduli space M g of Riemann surfaces of genus g ≥ 2 and its Deligne-Mumford compactification M g. We are interested in the branch locus B g for g > 2, i.e., the subset of M g consisting of surfaces with automorphisms. It is well-known that the set of hyperelliptic surfaces (the hyperelliptic locus) is connected in M g but the set of (cyclic) trigonal surfaces is not. By contrast, t...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2014
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-014-0161-7