$\bar{partial}$-coherent sheaves over complex manifolds

Details $\bar{partial}$-coherent sheaves over complex manifolds $\bar{partial}$-coherent sheaves over complex manifolds

2003-05-29

arxiv.org/abs/math/0305422v3

Mathematics

Algebraic Geometry

54 pages, French

Scientific paper

This is a large audience version of our previous work (see math.AG/0301146)
in which we prove the existence of an (exact) equivalence between the category
of coherent analytic sheaves and the category of $\bar{\partial}$-coherent
sheaves. We also include here the complete proof of our main Theorem.

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