6533b858fe1ef96bd12b6dfa
RESEARCH PRODUCT
Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type D d
Francesca Vetrosubject
Pure mathematicsWeyl groupGroup (mathematics)General MathematicsHurwitz spaces special fiber Weyl group of type D_dAlgebraic geometryType (model theory)Algebrasymbols.namesakeMathematics::Algebraic GeometryNumber theoryMonodromyGenus (mathematics)symbolsIrreducibilityMathematicsdescription
Let Y be a smooth, connected, projective complex curve. In this paper, we study the Hurwitz spaces which parameterize branched coverings of Y whose monodromy group is a Weyl group of type D d and whose local monodromies are all reflections except one. We prove the irreducibility of these spaces when $$Y \simeq \mathbb {P}^{1}$$ and successively we extend the result to curves of genus g ≥ 1.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-12-18 | manuscripta mathematica |