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Some surfaces of general type and finite quotients of surface braid groups

Orateur : Michelangelo Migliano
Établissement : Università della Calabria (Italie)
Dates : 2024-06-06 – 2024-06-06
Heures : 15:30 – 15:30
Lieu : Salle 0-3

Résumé :
By general results, the existence of a G-cover of the second symmetric product of a closed Riemann surface C of genus g, branched at most on the diagonal, is equivalent to that of an epimorphism from the Artin braid group on two strands on C to a finite group G. Assuming branching precisely on the diagonal, we will count how many of these quotients arise when G is a cyclic group and, time permitting, we will extend our discussion to the cases where G is any finite abelian group or dihedral gro

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