数域上非常数映射的有限性

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2024-05-14 DOI:10.4310/mrl.2023.v30.n5.a9

Ariyan Javanpeykar

引用次数: 0

摘要

受郎氏关于双曲性和有理点的中间猜想的启发，我们通过将法尔廷斯的有限性结果应用于映射的模空间，证明了从定域到定义在数域上的定域的非常数变形的新有限性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finiteness of non-constant maps over a number field

Motivated by the intermediate Lang conjectures on hyperbolicity and rational points, we prove new finiteness results for non-constant morphisms from a fixed variety to a fixed variety defined over a number field by applying Faltings’s finiteness results to moduli spaces of maps.

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.