Motivic invariants of birational maps
- Resource Type
- Working Paper
- Authors
- Lin, Hsueh-Yung; Shinder, Evgeny
- Source
- Subject
- Mathematics - Algebraic Geometry
Mathematics - K-Theory and Homology
- Language
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.
Comment: Final version. To appear in Annals of Mathematics