Chai's Conjecture and Fubini properties of dimensional motivic integration

Details Chai's Conjecture and Fubini properties of dimensional motivic integration Chai's Conjecture and Fubini properties of dimensional motivic integration

2011-02-28

arxiv.org/abs/1102.5653v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

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.

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