Disques J-holomorphes contenus dans une hypersurface

Details Disques J-holomorphes contenus dans une hypersurface Disques J-holomorphes contenus dans une hypersurface

2008-10-03

arxiv.org/abs/0810.0653v1

Mathematics

Complex Variables

Scientific paper

We study germs of J-Holomorphic curves contained in $M$, a real analytic hypersurface of an symplectic manifold of dimension 4. We show, under topological hypothesis on $M$, that if $M$ is compact then $M$ is of finite type and so there is no germs of $J$-holomorphic curves on $M$(with $J$ adapted with the symplectic form). In $\Bbb{C}^2$ with the standard complex structure, this is a classical result of Diederich-Fornaess.

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