Bounded derived categories of very simple manifolds

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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