Title    name
2009 Algebraic Geometry Workshop at KAIST
 
  Title
  Speaker Herbert Lange
  Date 2009-04-09
  Host
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
 
Abstract : This is a report on a recent joint paper with Peter Newstead. For smooth projective curves the Clifford index is an important invariant which provides a bound for the dimension of thespace of sections of a line bundle. This is the first step in distinguishing curves of the same genus. In this paper we generalise this to introduce Clifford indices for semistable vector bundles on curves. We study these invariants,giving some basic properties and carrying out some computations for small ranks and for general and some special curves. For curves whose classical Clifford index is two, we compute all values of our new Clifford indices.