论文标题

Mittag-Leffler问题的同胞障碍

Cohomological Obstructions for Mittag-Leffler Problems

论文作者

Schmidt, Mateus

论文摘要

这是对用于从复杂分析中制定Mittag-Leffler定理概括的技术的广泛调查。借助差异形式,滑轮和共同体理论的技术,我们能够在黎曼表面上定义米塔格 - leffler问题的概念,以此作为数据从本地传递到全球的问题,并讨论这些问题有解决方案的上下文的特征。

This is an extensive survey of the techniques used to formulate generalizations of the Mittag-Leffler Theorem from complex analysis. With the techniques of the theory of differential forms, sheaves and cohomology, we are able to define the notion of a Mittag-Leffler Problem on a Riemann surface as a problem of passage of data from local to global, and discuss characterizations of contexts where these problems have solutions.

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