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- W4287669158 abstract "We establish a type of the Picard's theorem for entire curves in $P^n(mathbb C)$ whose spherical derivative vanishes on the inverse images of hypersurface targets. Then, as a corollary, we prove that there is an union $D$ of finite number of hypersurfaces in the complex projective space $P^n(mathbb C)$ such that for every entire curve $f$ in $P^n(mathbb C)$, if the spherical derivative $f^{#}$ of $f$ is bounded on $ f^{-1}(D)$, then $f^{#}$ is bounded on the entire complex plane, and hence, $f$ is a Brody curve." @default.
- W4287669158 created "2022-07-25" @default.
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- W4287669158 date "2020-09-11" @default.
- W4287669158 modified "2023-09-29" @default.
- W4287669158 title "A property of the spherical derivative of an entire curve in complex projective space" @default.
- W4287669158 doi "https://doi.org/10.48550/arxiv.2009.05259" @default.
- W4287669158 hasPublicationYear "2020" @default.
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