The Andreotti Grauert vanishing theorem for dihedrons of $\Bbb C^n$

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概要

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• Let $X$ be a complex manifold, $\OX$ the sheaf of analytic functions on $X$, $W$ an open set of $X$ with $C^2$-boundary $M=\partial W$ ($W$ locally on one side of $M$), $z_o$ a point of $M$, $p_o$ the exterior conormal to $W$ at $z_o\,$. If the number of negative eigenvalues for the Levi form of $M$ in a neighborhood of $p_o$ is $\geq s^-$ (resp. $\equiv s^-$), then vanishing of local cohomology groups of $\OX$ over $W$ in degree $

• 東京大学の論文

著者

• Zampieri Giuseppe

  Dipartimento Di Matematica Pura Ed Applicata Universita Degli Studi Di Padova

関連論文

• Analytic discs in simpletic spaces
• The Andreotti Grauert vanishing theorem for dihedrons of $\Bbb C^n$
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• SOLVABILITY OF THE TANGENTIAL $ \bar{ \partial }$ COMPLEX ON HYPERSURFACES WITH GENERAL LEVI SIGNATURE

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