Geometry Seminar

 

Strict Arakelov inequality for families of

higher dimensional manifolds of general type

 

 

Professor Kang Zuo
Universität Mainz, Germany

 

 

Abstract

 

In this joint paper with Eckart Viehweg we generalize the strict Arakelov inequaliy for families of curves of genus ³ 2 due to Sheng-Li Tan to families of higher dimensional manifolds, whose canonical linear systems are birational. As a consequence we show that moduli spaces of such type manifolds cannot contain  Shimura curves of Mumford type.

 

 

Date:

August 4, 2005 (Thursday)

Time:

4:00 ¡V 5:00pm

Place:

Room 517, Meng Wah Complex

 

 

All are welcome