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arXiv · 1102.5653

Chai's Conjecture and Fubini properties of dimensional motivic integration

R. Cluckers·F. Loeser·J. Nicaise
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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.

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R. Cluckers, F. Loeser, J. Nicaise. 2013-01-09. Chai's Conjecture and Fubini properties of dimensional motivic integration. https://doi.org/10.2140/ant.2013.7.893

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