Kaehler structures on spin 6-manifolds
Algebraic Geometry
2019-04-26 v3 Complex Variables
Geometric Topology
Abstract
We show that many spin 6-manifolds have the homotopy type but not the homeomorphism type of a Kaehler manifold. Moreover, for given Betti numbers, there are only finitely many deformation types and hence topological types of smooth complex projectve spin threefolds of general type. Finally, on a fixed spin 6-manifold, the Chern numbers take on only finitely many values on all possible Kaehler structures.
Keywords
Cite
@article{arxiv.1606.09237,
title = {Kaehler structures on spin 6-manifolds},
author = {Stefan Schreieder and Luca Tasin},
journal= {arXiv preprint arXiv:1606.09237},
year = {2019}
}
Comments
24 pages; final version, to appear in Mathematische Annalen