Seminario di Geometria

Giovedì 18 Maggio alle ore 14:15, Riccardo Moschetti (Università degli Studi di Torino) terrà il seminario di Geometria dal titolo "Hyperelliptic Odd Coverings".

Abstract: "Hyperelliptic Odd Coverings" are a class of odd coverings of C -> P^1, where C is a hyperelliptic curve. They are characterized by the behavior of the hyperelliptic involution of C with respect to an involution of P^1. I will talk about some ways for studying this type of coverings: by fixing an effective theta characteristic, they correspond to the solutions of a certain type of differential equations. Considering them as elements in a suitable Hurwitz space, they can be characterized using monodromy and then studied from the point of view of deformations. When C is general in H_g, the number of possible Hyperelliptic Odd Coverings C -> P^1 of minimum degree is finite. The main result will be how to compute this number. This is a work in collaboration with Gian Pietro Pirola. 
In the first part of the talk, I will introduce the Hyperelliptic Odd Coverings from a geometric point of view, contextualizing them in the panorama of other enumerative works (in collaboration with Farkas, Naranjo, Pirola, Lian). In the second part of the talk I will talk about some proofs and some open problems.

Il seminario si svolgerà in presenza nell'aula M4. Per ulteriori informazioni, e per il link Teams per seguire il seminario a distanza, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.