Algebra & Number Theory
- Algebra Number Theory
- Volume 7, Number 4 (2013), 893-915.
Chai's conjecture and Fubini properties of dimensional motivic integration
We prove that a conjecture of Chai on the additivity of the base change conductor for semiabelian 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.
Algebra Number Theory, Volume 7, Number 4 (2013), 893-915.
Received: 28 April 2011
Revised: 1 February 2013
Accepted: 3 March 2013
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14K15: Arithmetic ground fields [See also 11Dxx, 11Fxx, 11G10, 14Gxx]
Secondary: 03C65: Models of other mathematical theories 03C98: Applications of model theory [See also 03C60] 11G10: Abelian varieties of dimension > 1 [See also 14Kxx]
Cluckers, Raf; Loeser, François; Nicaise, Johannes. Chai's conjecture and Fubini properties of dimensional motivic integration. Algebra Number Theory 7 (2013), no. 4, 893--915. doi:10.2140/ant.2013.7.893. https://projecteuclid.org/euclid.ant/1513729985