A note on jets of entire curves in semi-abelian varieties

被引：7

作者：

Noguchi, J ^{[1
]}

Winkelmann, J

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Korea Inst Adv Study, Sch Math, Seoul 130012, South Korea

来源：

MATHEMATISCHE ZEITSCHRIFT | 2003年 / 244卷 / 04期

关键词：

D O I：

10.1007/s00209-003-0513-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a product decomposition of the Zariski closure of every jet lift of an entire curve f:C-->A into a semi-abelian variety A, provided that f is of finite order. On the other hand, by giving an example of 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 [2], Proposition 1.8 (ii) and of [6], Theorem 2.2.

引用

页码：705 / 710

页数：6

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