6533b85afe1ef96bd12b96de

RESEARCH PRODUCT

On the irreducibility of Hurwitz spaces of coverings with an arbitrary number of special points

Francesca Vetro

subject

Hurwitz spaces Weyl groups special points monodromy braid movesProjective curvePure mathematicsWeyl groupHurwitz quaternionGeneral MathematicsType (model theory)Algebrasymbols.namesakeMonodromyHurwitz's automorphisms theoremsymbolsIrreducibilitySettore MAT/03 - GeometriaMathematics::Representation TheoryMathematics

description

In this paper we study Hurwitz spaces of coverings of Y with an arbitrary number of special points and with monodromy group a Weyl group of type D_d, where Y is a smooth, complex projective curve. We give conditions for which these spaces are irreducible.

https://doi.org/10.2298/fil1308463v