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Supplement and Erratum to "Algebraic degeneracy of non-Archimedean analytic maps" [Indag. Math. (N.S.) 19 (2008) 481-492]
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Supplement and Erratum to "Algebraic degeneracy of non-Archimedean analytic maps" [Indag. Math. (N.S.) 19 (2008) 481-492]

Ta Thi Hoai An, William CherryJulie Tzu-Yueh Wang
Indagationes Mathematicae, 卷.26(2), 頁碼.329-336
03/2015

摘要

Albanese map Algebraic degeneracy Bloch's theorem Néron-Severi group Rigid analytic Mathematics (all)
Our work An etal. (2008) consisted of two main sections. Section2 concerned non-Archimedean analytic maps to semi-Abelian varieties, and the results of that section are correct, as written. Section3 concerned non-Archimedean analogs of the work of Noguchi and Winkelmann (2002). Unfortunately, Noguchi and Winkelmann (2002) contains an error, first noticed by Aaron Levin, that we replicated into our work as well. Thus, some of the results in Section3 of our work are incorrect as stated there, while others require corrected proofs, which we describe in detail here. We also incorporate ideas from work that has appeared since our original paper to obtain a stronger conclusion for one of our results.

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