Monodromy of cyclic coverings of the projective line
نویسندگان
چکیده
منابع مشابه
CYCLIC COVERINGS OF THE p-ADIC PROJECTIVE LINE BY MUMFORD CURVES
Exact bounds for the positions of the branch points for cyclic coverings of the p-adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Kato’s ∗-trees, and secondly by giving explicit matrix representations of the Schottky groups corresponding to the Mumford curves above the projective line through combinatorial group theory.
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ζp ∈ C. Let Q(ζp) be the pth cyclotomic field. It is well-known that Q(ζp) is a CM-field. If p is a Fermat prime then the only CM-subfield of Q(ζp) is Q(ζp) itself, since the Galois group of Q(ζp)/Q is a cyclic 2-group, whose only element of order 2 acts as the complex conjugation. All other subfields of Q(ζp) are totally real. Let f(x) ∈ C[x] be a polynomial of degree n ≥ 5 without multiple ro...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2013
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-013-0477-9