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 $
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
2
号
1
ページ
233 - 246
発行年
1995
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1348029
Mathmatical Subject Classification
58G(MSC1991)
32F(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1994-10-18
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The Andreotti Grauert vanishing theorem for dihedrons of $\Bbb C^n$
jms020108.pdf
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