Motivic invariants of birational maps
Algebraic Geometry
2023-06-13 v2 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.2207.07389,
title = {Motivic invariants of birational maps},
author = {Hsueh-Yung Lin and Evgeny Shinder},
journal= {arXiv preprint arXiv:2207.07389},
year = {2023}
}
Comments
Final version. To appear in Annals of Mathematics