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2013 Chai's conjecture and Fubini properties of dimensional motivic integration
Raf Cluckers, François Loeser, Johannes Nicaise
Algebra Number Theory 7(4): 893-915 (2013). DOI: 10.2140/ant.2013.7.893


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.


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Raf Cluckers. François Loeser. Johannes Nicaise. "Chai's conjecture and Fubini properties of dimensional motivic integration." Algebra Number Theory 7 (4) 893 - 915, 2013.


Received: 28 April 2011; Revised: 1 February 2013; Accepted: 3 March 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1312.14104
MathSciNet: MR3095230
Digital Object Identifier: 10.2140/ant.2013.7.893

Primary: 14K15
Secondary: 03C65 , 03C98 , 11G10

Keywords: base change conductor , motivic integration , semiabelian varieties

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.7 • No. 4 • 2013
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