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.
Publié le : 2002-03-14
Classification:
Holomorphic foliation,
first integral,
meromorphic function,
32S65,
37F75
@article{1113247181,
author = {Mol, Rog\'erio S.},
title = {Meromorphic first integrals: some extension results},
journal = {Tohoku Math. J. (2)},
volume = {54},
number = {1},
year = {2002},
pages = { 85-104},
language = {en},
url = {http://dml.mathdoc.fr/item/1113247181}
}
Mol, Rogério S. Meromorphic first integrals: some extension results. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp. 85-104. http://gdmltest.u-ga.fr/item/1113247181/