The complex geometry of a hypothetical complex structure on $S^6$
Complex Variables
2019-12-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1912.09719,
title = {The complex geometry of a hypothetical complex structure on $S^6$},
author = {Christian Lehn and Sönke Rollenske and Caren Schinko},
journal= {arXiv preprint arXiv:1912.09719},
year = {2019}
}