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

Nefon Pali

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

Algebraic Geometry 2009-09-29 v3 Complex Variables Differential Geometry

Authors: Nefon Pali

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.

Keywords

perverse sheaves category theory derived categories

Cite

@article{arxiv.math/0305422,
  title  = {$\bar{partial}$-coherent sheaves over complex manifolds},
  author = {Nefon Pali},
  journal= {arXiv preprint arXiv:math/0305422},
  year   = {2009}
}

Comments

54 pages, French

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