A Runge approximation theorem for pseudo-holomorphic maps

Details A Runge approximation theorem for pseudo-holomorphic maps A Runge approximation theorem for pseudo-holomorphic maps

2010-06-10

arxiv.org/abs/1006.2005v2

Mathematics

Symplectic Geometry

36 pages

Scientific paper

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.

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