论文标题

birational地图的动机不变

Motivic invariants of birational maps

论文作者

Lin, Hsueh-Yung, Shinder, Evgeny

论文摘要

我们在Kontsevich-tschinkel群和截短的Grothendieck品种组中构建具有价值的Birational图的不变性。这些不变的是类固醇的形态,非常适合研究粒状环和L等效性的结构。在已知的L等效构造的基础上,我们证明了有关Cremona组的新意外结果。

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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