A refined Brill–Noether theory over Hurwitz spaces
نویسندگان
چکیده
منابع مشابه
Hurwitz spaces
1.1 The classical Hurwitz space and the moduli of curves The classical Hurwitz space first appeared in the work of Clebsch [5] and Hurwitz [17] as an auxiliary object to study the moduli space of curves. Let X be a smooth projective curve of genus g over C. A rational function f : X → P of degree n is called simple if there are at least n − 1 points on X over every point of P. Such a cover has ...
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Here we solve N × N Riemann-Hilbert (inverse monodromy) problems with all monodromy matrices having the structure of matrices of quasi-permutation (i.e. matrices which have only one non-zero element in each column and each row). Such RiemannHilbert problem may be associated to arbitrary Hurwitz space of algebraic curves L of genus g realized as N -sheeted covering over CP1, and allowes solution...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2020
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-020-01023-z