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On the irreducibility of Hurwitz spaces of coverings with two special fibers
-
Francesca Vetro
Veröffentlicht/Copyright:
30. Mai 2012
Abstract.
Let X and Y be smooth, connected, projective complex curves
and let 
. Let 
and 
be two
integers. Let 
and
be two partitions of d.
In this paper we study equivalence classes of pairs 
satisfying the following: 
is a degree d covering of Y, f
is unramified at b0 and it is branched in 
points, n
of which are points of simple branching, one is a special point
whose local monodromy has cycle type 
and one is a
special point whose local monodromy has cycle type 
.
Moreover, 
is a
bijection and the monodromy group of f is 
. We prove that
the corresponding Hurwitz spaces are irreducible under the
hypothesis 
where 
and 
denote, respectively, the genus of X and Y.
Received: 2011-08-06
Published Online: 2012-05-30
Published in Print: 2012-June
© 2012 by Walter de Gruyter Berlin Boston
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Schlagwörter für diesen Artikel
Hurwitz spaces;
special fibers;
branched coverings;
monodromy;
braid moves
Artikel in diesem Heft
- Masthead
- Boundedness of the parametric Marcinkiewicz integral operator and its commutators on generalized Morrey spaces
- Modules that have a supplement in every cofinite extension
- Boundary value problems of statics of the elastic mixture theory
- On grand Lorentz spaces and the maximal operator
- Measurable and nonmeasurable sets with homogeneous sections
- Complexifications of real spaces: General aspects
- Continuous Hu cohomology
- Convergence and existence results for best C-proximity points
- Aspects of slice stability in locale theory
- On the irreducibility of Hurwitz spaces of coverings with two special fibers
- Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
