Deninger, Christopher

On the $\Gamma$-factors of motives. II

Doc. Math., J. DMV 6, 67-95 (2001)


Summary: Using an idea of C. Simpson we describe Serre's local $\Gamma$-factors in terms of a complex of sheaves on a simple dynamical system. This geometrizes our earlier construction of the $\Gamma$-factors. Relations of this approach with the $\varepsilon$-factors are also studied.

Mathematics Subject Classification

11G40, 14Fxx, 14G10, 14G40


$\Gamma$-factors, motives, non-abelian Hodge theory, $\varepsilon$-factors, explicit formulas, Rees bundle, dynamical systems