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

Abstract

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.

54 pages, French