On the integrability of singular differential forms in two complex variables Article

Meziani, A. (1990). On the integrability of singular differential forms in two complex variables . TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 321(2), 595-620. 10.1090/S0002-9947-1990-0989582-7

cited authors

  • Meziani, A

abstract

  • In this work we study the integrability of a germ at 0 ε C2 of a singular differential form for which the closure of the integral curves are analytic varieties that pass through O. The focii of this paper are the existence of pure meromorphic integrals, the linearization and the nonexistence of a topological criterion for transcendental integrability. © 1990 American Mathematical Society.

publication date

  • January 1, 1990

Digital Object Identifier (DOI)

start page

  • 595

end page

  • 620

volume

  • 321

issue

  • 2