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.
Citation
Rogério S. Mol. "Meromorphic first integrals: some extension results." Tohoku Math. J. (2) 54 (1) 85 - 104, 2002. https://doi.org/10.2748/tmj/1113247181
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