凯勒抛物流形上的消失定理

IF 0.5 4区数学 Q3 MATHEMATICS

Geometriae Dedicata Pub Date : 2023-12-13 DOI:10.1007/s10711-023-00872-1

Teng Huang

引用次数: 0

摘要

在这篇文章中，我们考虑了紧凑凯勒抛物（或双曲）流形上的半正（或负）线束。我们证明了完整凯勒流形上全形线束的（L^{2}\）-谐波（n, q）-形式的一些消失定理。

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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Vanishing theorem on parabolic Kähler manifolds

In this article, we consider the semipositive (resp. nef) line bundle on compact Kähler parabolic (resp. hyperbolic) manifolds. We prove some vanishing theorems for the \(L^{2}\)-harmonic (n, q)-form of the holomorphic line bundles over complete Kähler manifolds.

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来源期刊

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.