Singularities of Holomorphic Codimension One Foliations of the Complex Projective Plane
نویسندگان
چکیده
We prove that any holomorphic codimension 1 foliation on the complex projective plane has at most one singularity up to action of an ad-hoc birational map. Consequently, algebraic affine no singularities a suitable self map into itself.
منابع مشابه
Dynamics of Singular Holomorphic Foliations on the Complex Projective Plane
This manuscript is a revised version of my Master’s thesis which was originally written in 1992 and was presented to the Mathematics Department of University of Tehran. My initial goal was to give, in a language accessible to non-experts, highlights of the 1978 influential paper of Il’yashenko on singular holomorphic foliations on CP [I3], providing short, self-contained proofs. Parts of the ex...
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ژورنال
عنوان ژورنال: Bulletin Of The Brazilian Mathematical Society, New Series
سال: 2023
ISSN: ['1678-7544', '1678-7714']
DOI: https://doi.org/10.1007/s00574-023-00332-0