Pawel Borówka (U Kraków)
Wednesday, June 26, 2019 - 13:00
Humboldt-Universität zu Berlin, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin-Adlershof, Raum 114, Haus 1
Forschungsseminar Algebraische Geometrie
Prof. G. Farkas / Prof. B. Klingler
In the talk, we will describe the geometry of etale 4:1 coverings of genus 2 curves given by a Klein group. The moduli of such coverings has 2 connected components that aredistinguished by the value of the Weil pairing on the group. We will show that in both cases, everything can be readfrom the 6 branch points of the curve. As a main result, we will describe the Prym variety of a covering and show that the Prym map is injective. This is a joint work with Angela Ortega..
submitted by Marion Thomma (thomma@math.hu-berlin.de, 2093-5815)