English

Motivic measures and stable birational geometry

Algebraic Geometry 2007-05-23 v1

Abstract

We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry. In particular, we obtain a counter-example to a conjecture of M. Kapranov on the rationality of motivic zeta-function.

Keywords

Cite

@article{arxiv.math/0110255,
  title  = {Motivic measures and stable birational geometry},
  author = {Michael Larsen and Valery A. Lunts},
  journal= {arXiv preprint arXiv:math/0110255},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:41:09.559Z