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- W4287122145 abstract "We prove that the open unit ball $mathbb{B}_n$ of $mathbb{C}^n$ $(nge 2)$ admits a nonsingular holomorphic foliation $mathcal F$ by closed complex hypersurfaces such that both the union of the complete leaves of $mathcal F$ and the union of the incomplete leaves of $mathcal F$ are dense subsets of $mathbb{B}_n$. In particular, every leaf of $mathcal F$ is both a limit of complete leaves of $mathcal F$ and a limit of incomplete leaves of $mathcal F$. This gives the first example of a holomorphic foliation of $mathbb{B}_n$ by connected closed complex hypersurfaces having a complete leaf that is a limit of incomplete ones. We obtain an analogous result for foliations by complex submanifolds of arbitrary pure codimension $q$ with $1le q<n$." @default.
- W4287122145 created "2022-07-25" @default.
- W4287122145 creator A5044040131 @default.
- W4287122145 date "2021-06-09" @default.
- W4287122145 modified "2023-10-14" @default.
- W4287122145 title "Wild holomorphic foliations of the ball" @default.
- W4287122145 doi "https://doi.org/10.48550/arxiv.2106.04950" @default.
- W4287122145 hasPublicationYear "2021" @default.
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