Compact complex non-Kähler manifolds associated with totally real reciprocal units

Christian Miebach (1) , Karl Oeljeklaus (2)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville
2 I2M - Institut de Mathématiques de Marseille

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

Domaines: Variables complexes [math.CV]

Christian Miebach, Karl Oeljeklaus. Compact complex non-Kähler manifolds associated with totally real reciprocal units. Mathematische Zeitschrift, In press, 301 (3), pp.2747-2760. ⟨10.1007/s00209-022-03010-x⟩. ⟨hal-03087081v2⟩