Images and singularity subsets of pseudoholomorphic maps

Weiyi Zhang

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arXiv · 2212.03982

Images and singularity subsets of pseudoholomorphic maps

Weiyi Zhang

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Abstract

We study the image and the singularity subset of a general pseudoholomorphic map. We show that the image of a proper pseudoholomorphic map is a pseudoholomorphic subvariety when the dimension of either the domain or target is four. We also prove that the singularity subset of a pseudoholomorphic map is pseudoholomorphic when the domain has dimension four.

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Weiyi Zhang. 2022-12-07. Images and singularity subsets of pseudoholomorphic maps. https://arxiv.org/abs/2212.03982

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