Motivic invariants of algebraic tori

Nicaise, Johannes

doi:10.1090/S0002-9939-2010-10781-5

Motivic invariants of algebraic tori
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Proc. Amer. Math. Soc. 139 (2011), 1163-1174 Request permission

Abstract:

We prove a trace formula and a global form of Denef and Loeser’s motivic monodromy conjecture for tamely ramified algebraic tori over a discretely valued field. If the torus has purely additive reduction, the trace formula gives a cohomological interpretation for the number of components of the Néron model.

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