English

Left-invariant almost complex structures on the higher dimensional Kodaira-Thurston manifolds

Differential Geometry 2023-10-16 v1 Complex Variables Representation Theory

Abstract

We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms for left-invariant almost complex structures on the generalised Kodaira-Thurston manifolds.

Keywords

Cite

@article{arxiv.2310.09027,
  title  = {Left-invariant almost complex structures on the higher dimensional Kodaira-Thurston manifolds},
  author = {Tom Holt and Riccardo Piovani},
  journal= {arXiv preprint arXiv:2310.09027},
  year   = {2023}
}

Comments

15 pages, comments are welcome

R2 v1 2026-06-28T12:49:45.214Z