# 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…

## 8 Citations

Geometry of universal embedding spaces for almost complex manifolds

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We analyze the differential relation corresponding to integrability of almost complex structures, reformulated as a directed immersion relation by Demailly and Gaussier. Using recent results of…

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Kuranishi’s fundamental result (1962) associates to any compact complex manifold
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We present a list of open questions in the theory of holomorphic foliations, possibly with singularities. Some problems have been around for a while, others are very accessible.

Complex structures as critical points

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This note aims at obtaining a variational characterization of complex structures by means of a calculus of variations for real vector bundle valued differential forms, and outlines a perspective to…

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