Commentarii Mathematici Helvetici


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Volume 74, Issue 4, 1999, pp. 642–656
DOI: 10.1007/s000140050109

Published online: 1999-12-31

On holomorphic forms on compact complex threefolds

Luis Paris[1]

(1) Université de Bourgogne, Dijon, France

We study the structure of holomorphic 1. forms on compact complex threefolds of positive algebraic dimension. We obtain a rather detailed description of integrable 1. forms. We use this result to extend Castelnuovo - De Franchis lemma (as well as Catanese's generalization) to non-Kähler threefolds.

Keywords: Complex manifolds, holomorphic 1. forms, algebraic dimension, foliations, Castelnuovo--De Franchis lemma

Paris Luis: On holomorphic forms on compact complex threefolds. Comment. Math. Helv. 74 (1999), 642-656. doi: 10.1007/s000140050109