双向映射的动机不变式 | 数学年鉴

IF 5.7 1区数学 Q1 MATHEMATICS

Annals of Mathematics Pub Date : 2023-12-29 DOI:10.4007/annals.2024.199.1.6

Hsueh-Yung Lin, Evgeny Shinder

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引用次数: 0

摘要

我们构建了在 Kontsevich-Tschinkel 群和截断格罗thendieck 群中具有值的双向映射不变式。这些不变式是群的变形，非常适合研究格罗内狄克环的结构和 L-等价性。在已知的 L 等价性构造的基础上，我们证明了关于克雷莫纳群的意想不到的新结果。

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Motivic invariants of birational maps | Annals of Mathematics

We construct invariants of birational maps with values in the Kontsevich–Tschinkel group and in the truncated Grothendieck groups of varieties. These invariants are morphisms of groupoids and are well-suited to investigating the structure of the Grothendieck ring and L-equivalence. Building on known constructions of L-equivalence, we prove new unexpected results about Cremona groups.

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.