paper

A Runge approximation theorem for pseudo-holomorphic maps

arXiv:1006.2005 · doi:10.1007/s00039-012-0157-8

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.

36 pages

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