English

Compact complex non-K{\"a}hler manifolds associated with totally real reciprocal units

Algebraic Geometry 2022-08-30 v2 Complex Variables

Abstract

Using the theory of totally real number fields we construct a new class of compact complex non-K{\"a}hler manifolds in every even complex dimension and study their analytic and geometric properties.

Keywords

Cite

@article{arxiv.2101.00944,
  title  = {Compact complex non-K{\"a}hler manifolds associated with totally real reciprocal units},
  author = {Christian Miebach and Karl Oeljeklaus},
  journal= {arXiv preprint arXiv:2101.00944},
  year   = {2022}
}

Comments

12 pages; published online in Mathematische Zeitschrift, 2022