伪全纯曲线的穷举Gromov紧性

IF 1 4区数学 Q1 MATHEMATICS

Asterisque Pub Date : 2018-11-22 DOI:10.24033/ast.11101

Joel W. Fish, H. Hofer

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引用次数: 3

摘要

在这里，我们将伪全纯曲线的目标局部Gromov收敛的概念推广到目标流形不是紧致的，而是被紧致邻域耗尽的情况。假设所讨论的曲线在每个紧致区域上具有一致有界的面积和亏格（但不一定是全局界），我们证明了子序列在穷举Gromov意义上收敛。

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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Exhaustive Gromov compactness for pseudoholomorphic curves

Here we extend the notion of target-local Gromov convergence of pseudoholomorphic curves to the case in which the target manifold is not compact, but rather is exhausted by compact neighborhoods. Under the assumption that the curves in question have uniformly bounded area and genus on each of the compact regions (but not necessarily global bounds), we prove a subsequence converges in an exhaustive Gromov sense.

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来源期刊

Asterisque MATHEMATICS-

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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