Splitting theorem for sheaves of holomorphic k-vectors on complex contact manifolds

@article{Moriyama2018SplittingTF,
  title={Splitting theorem for sheaves of holomorphic k-vectors on complex contact manifolds},
  author={Takayuki Moriyama and Takashi G. Nitta},
  journal={International Journal of Mathematics},
  year={2018}
}
A complex contact structure [Formula: see text] is defined by a system of holomorphic local 1-forms satisfying the completely non-integrability condition. The contact structure induces a subbundle [Formula: see text] of the tangent bundle and a line bundle [Formula: see text]. In this paper, we prove that the sheaf of holomorphic [Formula: see text]-vectors on a complex contact manifold splits into the sum of [Formula: see text] and [Formula: see text] as sheaves of [Formula: see text]-module… 

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