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arXiv · 1909.11599

Cohomologie de Dolbeault feuillet\'ee du feuilletage complexe affine de Reeb

Rochdi Ben Charrada·Aziz El Kacimi Alaoui
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Abstract

Let ${\cal F}$ be a complex affine Reeb foliation of dimension $1$ on the Hopf manifold ${\Bbb S}^{n+1}\times {\Bbb S}^1$. We prove that its foliated Dolbeault cohomology in degree $1$ is isomorphic to ${\Bbb C}$ by giving an explicit generator.

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Rochdi Ben Charrada, Aziz El Kacimi Alaoui. 2019-09-25. Cohomologie de Dolbeault feuillet\'ee du feuilletage complexe affine de Reeb. https://arxiv.org/abs/1909.11599

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