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Transactions of the American Mathematical Society

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On the integrability of singular differential forms in two complex variables

Author: A. Meziani
Journal: Trans. Amer. Math. Soc. 321 (1990), 595-620
MSC: Primary 32L05; Secondary 58F18
MathSciNet review: 989582
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Abstract: In this work we study the integrability of a germ at $ 0 \in {{\mathbf{C}}^2}$ of a singular differential form for which the closure of the integral curves are analytic varieties that pass through 0. The focii of this paper are the existence of pure meromorphic integrals, the linearization and the nonexistence of a topological criterion for transcendental integrability.

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