Will discuss a proof
of the conjecture of Grauert-Schneider on the
splitting of unstable holomorphic vector bundles of rank 2 over the complex
projective space of dimension 4. The new techniques used in
the proof requires the dimension of the complex projective space to be
more than the originally conjectured dimension 4. The proof in the
article posted on arXiv.org leaves out some situations which will be
discussed in this talk. |