Hong Kong Geometry Colloquium

November 19, 2005 (Saturday)

Room 517, Meng Wah Complex, HKU

 


 

Dr. Insong Choe

Korea Institute for Advanced Study, Seoul, Korea

Degeneration of Hecke curves and Chow group of 1-cycles
on the moduli space of vector bundles over a curve

 

Abstract

 

We compute the Chow group of 1-cycles on the moduli space of vector bundles over a curve of rank 2 with fixed determinant of odd degree. This is done by studying the degeneration of Hecke curves. Usually Chow groups are huge, but in this case it turns out that the group is expressible by the Jacobian of the curve.