Coherent sheaves and cohesive sheaves

Details Coherent sheaves and cohesive sheaves Coherent sheaves and cohesive sheaves

2008-08-12

arxiv.org/abs/0808.1717v2

Mathematics

Complex Variables

18 pages. In replacement the proof of Lemma 6.2 improved; typos corrected

Scientific paper

We consider coherent and cohesive sheaves of $\cO$--modules over open sets
$\Omega\subset\bC^n$. We prove that coherent sheaves, and certain other sheaves
derived from them, are cohesive; and conversely, certain sheaves derived from
cohesive sheaves are coherent. An important tool in all this, also proved here,
is that the sheaf of Banach space valued holomorphic germs is flat.

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