Chai's Conjecture and Fubini properties of dimensional motivic integration
Algebraic Geometry
2016-01-20 v2 Logic
Abstract
We prove that a conjecture of Chai on the additivity of the base change conductor for semi-abelian varieties over a discretely valued field is equivalent to a Fubini property for the dimensions of certain motivic integrals. We prove this Fubini property when the valued field has characteristic zero.
Keywords
Cite
@article{arxiv.1102.5653,
title = {Chai's Conjecture and Fubini properties of dimensional motivic integration},
author = {R. Cluckers and F. Loeser and J. Nicaise},
journal= {arXiv preprint arXiv:1102.5653},
year = {2016}
}
Comments
22 pages