MOTIVIC INVARIANTS OF ALGEBRAIC TORI

作者：Nicaise Johannes^*

来源：Proceedings of the American Mathematical Society, 2011, 139(4): 1163-1174.

DOI：10.1090/S0002-9939-2010-10781-5

• Motivic Serre invariant
• trace formula
• motivic zeta function
• monodromy conjecture

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 Neron model.

• 出版日期2011-4
• 单位KU Leuven