在一些拉格朗日颤振的Chow环上

IF 0.4 4区数学 Q4 MATHEMATICS

Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-14 DOI:10.36045/j.bbms.200318

R. Laterveer

引用次数: 1

摘要

设X是一个允许拉格朗日颤动的超赫勒变体。波维尔的“分裂性质”猜想预测拉格朗日纤维在X的周氏环中应该有一种特殊的行为。我们研究了两个非常经典的拉格朗日颤振的这种推测行为。

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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On the Chow ring of some Lagrangian fibrations

Let $X$ be a hyperk\"ahler variety admitting a Lagrangian fibration. Beauville's"splitting property"conjecture predicts that fibres of the Lagrangian fibration should have a particular behaviour in the Chow ring of $X$. We study this conjectural behaviour for two very classical examples of Lagrangian fibrations.

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来源期刊

Bulletin of the Belgian Mathematical Society-Simon Stevin 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Belgian Mathematical Society - Simon Stevin (BBMS) is a peer-reviewed journal devoted to recent developments in all areas in pure and applied mathematics. It is published as one yearly volume, containing five issues. The main focus lies on high level original research papers. They should aim to a broader mathematical audience in the sense that a well-written introduction is attractive to mathematicians outside the circle of experts in the subject, bringing motivation, background information, history and philosophy. The content has to be substantial enough: short one-small-result papers will not be taken into account in general, unless there are some particular arguments motivating publication, like an original point of view, a new short proof of a famous result etc. The BBMS also publishes expository papers that bring the state of the art of a current mainstream topic in mathematics. Here it is even more important that at leat a substantial part of the paper is accessible to a broader audience of mathematicians. The BBMS publishes papers in English, Dutch, French and German. All papers should have an abstract in English.