实解析Levi平超曲面与全纯Webs

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2023-06-13 DOI:10.1016/j.exmath.2023.06.002

Ayane Adelina da Silva , Arturo Fernández-Pérez

引用次数: 0

摘要

研究了紧复曲面上与实解析列维平面超曲面相切的全纯网。在一定条件下，证明了与实解析列维平面超曲面相切的全纯网存在多值亚纯第一积分。我们还证明了在Grassmannian G(n+1,n)上由不可约实解析曲线引起的列维平面超曲面的列维叶化扩展到复射影空间上的代数网。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On real-analytic Levi-flat hypersurfaces and holomorphic Webs

We investigate holomorphic webs tangent to real-analytic Levi-flat hypersurfaces on compact complex surfaces. Under certain conditions, we prove that a holomorphic web tangent to a real-analytic Levi-flat hypersurface admits a multiple-valued meromorphic first integral. We also prove that the Levi foliation of a Levi-flat hypersurface induced by an irreducible real-analytic curve in the Grassmannian $G (n + 1, n)$ extends to an algebraic web on the complex projective space.

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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