Yum-Tong Siu, Harvard U., USA

Splitting of unstable plane bundle over the complex projective space

Abstract

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.