Submission date: 1 March 2011.

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, by developing a theory of dimensional motivic integration.

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

Keywords and phrases:

Full text arXiv: pdf, ps.