Neighborhoods of rational curves without functions
نویسندگان
چکیده
We prove the existence of (non compact) complex surfaces with a smooth rational curve embedded such that there does not exist any formal singular foliation along curve. In particular, at arbitrary small neighborhood curve, meromorphic function is constant. This implies Picard group countably generated.
منابع مشابه
Invariant curves and semiconjugacies of rational functions
Jordan analytic curves which are invariant under rational functions are studied.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2021
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-020-02126-x