函数场上移动超平面目标的施密特子空间定理

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-05-07 DOI:10.1007/s40306-024-00529-5

Le Giang, Tran Van Tan, Nguyen Van Thin

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引用次数: 0

摘要

施密特子空间定理已被广泛地研究过，包括数域投影空间中固定目标和移动目标的情况，以及函数域投影空间中固定目标的情况。本文研究的是有移动目标的函数域的情况；特别是，我们将闵儒和保罗-沃伊塔在《数学发明》（1997）中的结果推广到函数域上的投影空间中移动超平面目标的情况。

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A Schmidt’s Subspace Theorem for Moving Hyperplane Targets Over Function Fields

The Schmidt subspace theorem has been studied extensively for both cases of fixed and moving targets in projective spaces over number fields and the case of fixed targets in projective spaces over function fields. This paper studies the case of function fields with moving targets; in particular, we extend the result of Min Ru and Paul Vojta in the Inventiones Mathematicae (1997) to the case of moving hyperplane targets in projective spaces over function fields.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.