Balance point and Stability of Vector Bundles Over a Projective Manifold

Xiaowei Wang
2002 Mathematical Research Letters  
In this paper, we show that stability of a vector bundle over a projective manifold is equivalent to the embedding of the base manifold induced by the global sections into the Grassmanian can be moved to a balanced place in the sense of Donaldson, thus verifying a conjecture of Donaldson.
doi:10.4310/mrl.2002.v9.n3.a12 fatcat:b3ldma46h5faneudlvdueuxdg4