Abstract
Given a smooth, projective curve Y of genus g>=1 and a finite group G, let H^G_n(Y) be the Hurwitz space which parameterizes the G-equivalence classes of G-coverings of Y branched in n points. This space is a finite e'tale covering of Y^{(n)}\setminus \Delta, where \Delta is the big diagonal. In this paper we calculate explicitly themonodromy of this covering. This is an extension to curves of positive genus of a well known result in the case of Y = P^1, and may be used for determining the irreducible components of H^G_n(Y) in particular cases.
Lingua originale | English |
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pagine (da-a) | 193-222 |
Numero di pagine | 30 |
Rivista | Pure and Applied Mathematics Quarterly |
Volume | 10 |
Stato di pubblicazione | Published - 2014 |
All Science Journal Classification (ASJC) codes
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