6533b86efe1ef96bd12cb672

RESEARCH PRODUCT

A note on coverings with special fibres and monodromy group $ S_{d}$

Francesca Vetro

subject

CombinatoricsProjective curveBranching (linguistics)Mathematics::Algebraic GeometryMonodromyGeneral MathematicsHigh Energy Physics::ExperimentHurwitz spaces special fibres branched coverings monodromy braid moves.Settore MAT/03 - GeometriaMathematics

description

We consider branched coverings of degree over with monodromy group , points of simple branching, special points and fixed branching data at the special points, where is a smooth connected complex projective curve of genus , and , are integers with . We prove that the corresponding Hurwitz spaces are irreducible if .

https://doi.org/10.1070/im2012v076n06abeh002616