A Runge approximation theorem for pseudo-holomorphic maps
Symplectic Geometry
2021-01-05 v2
Abstract
The Runge approximation theorem for holomorphic maps (U -> C) is a fundamental result in complex analysis. The aim of this article is to prove such a result for (pseudo-)holomorphic maps from a compact Riemann surface to a compact (almost-)complex manifold M under certain assumptions. Though the setting is definitively that of pseudo-holomorphic maps it also covers some complex varieties.
Cite
@article{arxiv.1006.2005,
title = {A Runge approximation theorem for pseudo-holomorphic maps},
author = {Antoine Gournay},
journal= {arXiv preprint arXiv:1006.2005},
year = {2021}
}
Comments
36 pages