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Preprint Number 302

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302. R. Cluckers, F. Loeser, J. Nicaise
Chai's Conjecture and Fubini properties of dimensional motivic integration

Submission date: 1 March 2011.


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, by developing a theory of dimensional motivic integration.

Mathematics Subject Classification: 03C95, 11G25, 14K15 (Primary), 03C10, 14K05 (Secondary).

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