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A note on Jets of Entire Curves in Semi-Abelian Varieties

Junjiro Noguchi·Joerg Winkelmann
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Abstract

We prove a product decomposition of the Zariski closure of the jet lifts of a holomorphic map f from C into a semi-abelian variety A, provided that f is of finite order. On the other hand, by giving an example of such a map f into a three dimensional abelian variety we show that this product decomposition does not hold in general; there was a gap in the proofs of some articles which claimed that such a product decomposition is always true.

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Junjiro Noguchi, Joerg Winkelmann. 2002-07-29. A note on Jets of Entire Curves in Semi-Abelian Varieties. https://arxiv.org/abs/math/0207266

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