Tohoku Mathematical Journal
2002
March
SECOND SERIES VOL. 54, NO. 1

Tohoku Math. J.
54 (2002), 85-104

Title MEROMORPHIC FIRST INTEGRALS: SOME EXTENSION RESULTS

Author Rogério S. Mol

(Received April 3, 2000, revised March 29, 2001)
Abstract. We present sufficient conditions of extending a meromorphic function which is defined outside an analytic compact curve in a complex surface. The function we deal with is a first integral for a holomorphic foliation in the whole surface. The key to extension is the study of singularities of the foliation on the complex curve.

2000 Mathematics Subject Classification. Primary 32S65; Secondary 32A20.
Key words and phrases. Holomorphic foliation, first integral, meromorphic function.

To the top of this page

Back to the Contents