Search results for " Weyl group of type B_d"

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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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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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