COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI:10.2206/kyushujm.75.323

Yuta Watanabe

引用次数: 1

Abstract

We study the cohomology groups of vector bundles on neighborhoods of nonpluriharmonic loci in q-complete Kähler manifolds and in compact Kähler manifolds. Applying our results, we show variants of the Lefschetz hyperplane theorem.

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伪凸kÄhler流形中非多谐轨迹的邻域上同调

研究了q-完全Kähler流形和紧致Kähler流形中非多谐轨迹邻域上向量束的上同调群。应用我们的结果，我们展示了Lefschetz超平面定理的变体。

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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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.