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Journal Articles Mathematische Zeitschrift Year : 2022

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

Abstract

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.
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Dates and versions

hal-03087081 , version 1 (23-12-2020)
hal-03087081 , version 2 (20-09-2021)

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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⟩
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