双向映射的动机不变式 | 数学年鉴

IF 8.3 2区材料科学 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY

ACS Applied Materials & Interfaces 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

ACS Applied Materials & Interfaces 工程技术-材料科学：综合

CiteScore

16.00

自引率

6.30%

发文量

4978

审稿时长

1.8 months

期刊介绍： ACS Applied Materials & Interfaces is a leading interdisciplinary journal that brings together chemists, engineers, physicists, and biologists to explore the development and utilization of newly-discovered materials and interfacial processes for specific applications. Our journal has experienced remarkable growth since its establishment in 2009, both in terms of the number of articles published and the impact of the research showcased. We are proud to foster a truly global community, with the majority of published articles originating from outside the United States, reflecting the rapid growth of applied research worldwide.