Algebraic embeddings of smooth almost complex structures

@article{Demailly2014AlgebraicEO,
  title={Algebraic embeddings of smooth almost complex structures},
  author={J Demailly and Herv'e Gaussier},
  journal={arXiv: Complex Variables},
  year={2014}
}
The goal of this work is to prove an embedding theorem for compact almost complex manifolds into complex algebraic varieties. It is shown that every almost complex structure can be realized by the transverse structure to an algebraic distribution on an affine algebraic variety, namely an algebraic subbundle of the tangent bundle. In fact, there even exist universal embedding spaces for this problem, and their dimensions grow quadratically with respect to the dimension of the almost complex… Expand
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