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arXiv · 1912.09719

The complex geometry of a hypothetical complex structure on $S^6$

Christian Lehn·Sönke Rollenske·Caren Schinko
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Abstract

This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--Campana--Demailly on the algebraic dimension of a hypothetical complex six-sphere and give some examples. We also give an overview over an application of Huckleberry--Kebekus--Peternell on the group of biholomorphisms of such a complex six-sphere.

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Christian Lehn, Sönke Rollenske, Caren Schinko. 2019-12-20. The complex geometry of a hypothetical complex structure on $S^6$. https://doi.org/10.1016/j.difgeo.2017.10.015

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