Chai's Conjecture and Fubini properties of dimensional motivic integration

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.

22 pages

References in corpus (2)

• Constructible motivic functions and motivic integration
• A trace formula for rigid varieties, and motivic Weil generating series for formal schemes

Cited by in corpus (2)

• Chai's conjectures on base change conductors
• Chai's conjecture for semiabelian Jacobians