## Fine resolution of the sheaf of germs of holomorphic projective vector fields on two dimensional projectively flat complex manifold.(English)Zbl 1119.58001

Author’s abstract: In the article fine resolution of the sheaf of germs of complex projective vector fields on a locally projective complex manifold $$M^4$$ of complex dimension $$n=2$$ is given. The local coordinate charts on the manifolds are chosen so that they are adapted to the complex projective pseudo-group structure and carry therefore the geometry of the structure.

### MSC:

 58A05 Differentiable manifolds, foundations 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)

### Keywords:

locally projective complex manifold
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