Motivic invariants of birational maps
成果类型：
Article
署名作者：
Lin, Hsueh-Yung; Shinder, Evgeny
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2024.199.1.6
发表日期：
2024
页码：
445-478
关键词：
摘要：
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.