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A note on pseudoconvex hypersurfaces of infinite type in ℂⁿ
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15088
John Erik Fornæss , Ninh Van Thu

Abstract:The purpose of this article is to prove that there exists a real smooth pseudoconvex hypersurface germ $ (M,p)$ of D'Angelo infinite type in $ \mathbb{C}^{n+1}$ such that it does not admit any (singular) holomorphic curve in $ \mathbb{C}^{n+1}$ tangent to $ M$ at $ p$ to infinite order.


中文翻译:

ℂⁿ中无限类型的伪凸超曲面的一个注记

摘要:本文的目的是证明存在一个真正的,光滑的伪拟凸超曲面$(M,p)$D'Angelo无限种细菌,这样它就不允许在到到无限大的切线上切入任何(奇异)全纯曲线。 $ \ mathbb {C} ^ {n + 1} $ $ \ mathbb {C} ^ {n + 1} $$ M $$ p $
更新日期:2020-08-20
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