Cohomological Obstructions for Mittag-Leffler Problems
Complex Variables
2020-10-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2010.11812,
title = {Cohomological Obstructions for Mittag-Leffler Problems},
author = {Mateus Schmidt},
journal= {arXiv preprint arXiv:2010.11812},
year = {2020}
}