Minimal rational curves on moduli spaces of stable bundles

Xiaotao SUN
The University of Hong Kong, Hong Kong
 
 

Abstract

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Let M be the moduli space of stable bundles over smooth projective curves of rank r and degree d with a fixed determinant. Assume that r and d are coprime. Then (1) we determine all of rational curves on M with minimal degree. (2) we determine all of generic rational curves on M with minimal degree.