English

Bounded derived categories of very simple manifolds

Algebraic Geometry 2015-05-18 v2

Abstract

An unrepresentable cohomological functor of finite type of the bounded derived category of coherent sheaves of a compact complex manifold of dimension greater than one with no proper closed subvariety is given explicitly in categorical terms. This is a partial generalization of an impressive result due to Bondal and Van den Bergh.

Keywords

Cite

@article{arxiv.1002.2809,
  title  = {Bounded derived categories of very simple manifolds},
  author = {Keiji Oguiso},
  journal= {arXiv preprint arXiv:1002.2809},
  year   = {2015}
}

Comments

11 pages one important references is added, proof of lemma 2.1 (2) and many typos are corrected