Back to Algebraic Geometry Seminar: Fall 2009
Algebraic Geometry Seminar
Date: Tuesday, Sep 15, 2009
Time: 3:30PM - 4:30PM
Location: LCB 225
Martin Deraux
Université de Grenoble I
Title |
Holomorphic maps between ball quotients |
Abstract |
A recent theorem of Koziarz and Mok shows that there can be no holomorphic submersions between compact ball quotients, apart from totally geodesic coverings. After sketching the proof of their result, I will describe the known examples of holomorphic surjections between ball quotients, namely the Livne fibrations and the Mostow-Toledo maps, that illustrate the failure of superrigidity of the automorphism group of complex hyperbolic space. These two classes of examples can be understood in terms of “forgetful maps” between Deligne-Mostow ball quotients, which allows to extend the list of examples a little. |
Algebraic Geometry