Etale double covers of cyclic p-gonal covers |
| Herbert Lange |
| Universität Erlangen-Nürnberg |
| Abstract: |
| I will give a report on a recent joint paper with Angel Carocca and Rubi Rodriguez. This paper computes the Galois group of the Galois cover of the composition of an étale double cover of a cyclic \[p\] -gonal cover for any prime \[p\] . Moreover a relation between some of its Prym varieties and the Jacobian of a subcover is given. In a sense this generalizes the trigonal construction. |