上同调类的推广及在子变种上定义的全纯节

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2019-09-19 DOI:10.1090/JAG/766

Xiangyu Zhou, Langfeng Zhu

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引用次数: 5

摘要

本文得到了定义在解析子变种上的上同调类和全纯截面的两个扩展定理，它们被定义为具有任意奇点的拟多次调和函数的乘子理想群的商群的支撑。第一个结果对cao - demaily - matsumura提出的问题给出了一个肯定的答案，并统一了几个著名的注入定理。第二个结果推广并优化了Demailly给出的一般l2l ^2可拓定理。

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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Extension of cohomology classes and holomorphic sections defined on subvarieties

In this paper, we obtain two extension theorems for cohomology classes and holomorphic sections defined on analytic subvarieties, which are defined as the supports of the quotient sheaves of multiplier ideal sheaves of quasi-plurisubharmonic functions with arbitrary singularities. The first result gives a positive answer to a question posed by Cao-Demailly-Matsumura and unifies a few well-known injectivity theorems. The second result generalizes and optimizes a general L 2 L^2 extension theorem obtained by Demailly.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.