Search results for " special fibers"

showing 3 items of 3 documents

Irreducible components of Hurwitz spaces of coverings with two special fibers

2013

In this paper we prove new results of irreducibility for Hurwitz spaces of coverings whose monodromy group is a Weyl group of type B_d and whose local monodromies are all reflections except two.

Weyl groupPure mathematicsHurwitz quaternionGroup (mathematics)General MathematicsType (model theory)Hurwitz spaces special fibers branched coverings Weyl group of type B_d monodromy braid moves.symbols.namesakeMathematics::Algebraic GeometryMonodromyHurwitz's automorphisms theoremsymbolsIrreducibilitySettore MAT/03 - GeometriaMathematics::Representation TheoryMathematics
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Hurwitz spaces of coverings with two special fibers and monodromy group a Weyl group of typeBd

2012

f! Y; where is a degree-two coverings with n1 branch points and branch locus D and f is a degree-d coverings with n2 points of simple branching and two special points whose local monodromy is given by e and q, respectively. Furthermore the covering f has monodromy group Sd and f. D /\ D fD? where D f denotes the branch locus of f . We prove that the corresponding Hurwitz spaces are irreducible under the hypothesis n2 s r dC 1.

CombinatoricsAlgebraWeyl groupsymbols.namesakeMonodromyGeneral MathematicssymbolsSettore MAT/03 - GeometriaHurwitz spaces special fibers branched coverings Weyl group of type B_d monodromy braid moves.Locus (mathematics)Branch pointMathematicsPacific Journal of Mathematics
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On the irreducibility of Hurwitz spaces of coverings with two special fibers

2012

Pure mathematicsMonodromyGeneral MathematicsIrreducibilitySettore MAT/03 - GeometriaHurwitz spaces special fibers branched coverings monodromy braid moves.Mathematics
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