On holomorphic forms on compact complex threefolds

  • Luis Paris

    Université de Bourgogne, Dijon, France

Abstract

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.

Cite this article

Luis Paris, On holomorphic forms on compact complex threefolds. Comment. Math. Helv. 74 (1999), no. 4, pp. 642–656

DOI 10.1007/S000140050109