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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the integrability of singular differential forms in two complex variables
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by A. Meziani PDF
Trans. Amer. Math. Soc. 321 (1990), 595-620 Request permission

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.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 321 (1990), 595-620
  • MSC: Primary 32L05; Secondary 58F18
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0989582-7
  • MathSciNet review: 989582