Herbert Lange (FAU Erlangen-Nürnberg)
Wednesday, June 20, 2018 - 13:00
HU, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin-Adlershof, 1.114, 1. Stock
Forschungsseminar "Algebraische Geometrie"
Prof. Dr. Gavril Farkas, Prof. Dr. Bruno Klingler
In the first part of the talk I will compute the Galois group of the Galois closure of the composition of an etale double cover and a cyclic p-gonal cover, where p is a prime. The main result is a relation between the Prym variety of the double cover and the Jacobian of a certain subcover. For p=3 this gives a new proof of the trigonal construction. For higher p this can be considered as a generalization of it. This is joint work with A. Carocca and R. Rodriguez.
submitted by Kristina Schulze (schulze@math.hu-berlin.de)