Fine resolution of the sheaf of germs of holomorphic projective vector fields on two dimensional projectively flat complex manifold


Olivera MilenkoviŠ


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.