A short proof of a conjecture of Matsushita

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-10-03 DOI:10.1016/j.aim.2025.110554

Benjamin Bakker

引用次数: 0

Abstract

We build on the arguments of van Geemen and Voisin [24] to prove a conjecture of Matsushita that a Lagrangian fibration of an irreducible hyperkähler manifold is either isotrivial or of maximal variation. We also complete a partial result of Voisin [26] regarding the density of torsion points of sections of Lagrangian fibrations.

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一个关于松下猜想的简短证明

我们在van Geemen和Voisin[24]的论点的基础上证明了Matsushita的一个猜想，即不可约hyperkähler流形的拉格朗日振动是等平凡的或者是极大变分的。我们还完成了Voisin[26]关于拉格朗日振动截面扭转点密度的部分结果。

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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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.