The distribution relation and inverse function theorem in arithmetic geometry

JOURNAL OF NUMBER THEORY

卷:226

Article

Matsuzawa, Yohsuke¹  Silverman, Joseph H.¹ 

[1] Brown Univ, Dept Math, Box 1917, Providence, RI 02912 USA

关键词: Arithmetic distance function;    Inverse function theorem;    Arithmetic distribution relation;   

DOI  :  10.1016/j.jnt.2021.03.016

来源: Elsevier

【 摘 要 】

We study arithmetic distribution relations and the inverse function theorem in algebraic and arithmetic geometry, with an emphasis on versions that can be applied uniformly across families of varieties and maps. In particular, we prove two explicit versions of the inverse function theorem, the first via general distribution and separation inequalities that may be of independent interest, the second via a careful implementation of classical Newton iteration. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free