On the $\Gamma$-factors of motives. II
Documenta mathematica, Tome 6 (2001), pp. 67-95
Using an idea of C. Simpson we describe Serre's local Γ-factors in terms of a complex of sheaves on a simple dynamical system. This geometrizes our earlier construction of the Γ-factors. Relations of this approach with the ε-factors are also studied.
Classification :
11G40, 14Fxx, 14G10, 14G40
Mots-clés : dynamical systems, motives, Γ-factors, non-abelian Hodge theory, ε-factors, explicit formulas, Rees bundle
Mots-clés : dynamical systems, motives, Γ-factors, non-abelian Hodge theory, ε-factors, explicit formulas, Rees bundle
@article{10_4171_dm_97,
author = {Christopher Deninger},
title = {On the $\Gamma$-factors of motives. {II}},
journal = {Documenta mathematica},
pages = {67--95},
year = {2001},
volume = {6},
doi = {10.4171/dm/97},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/97/}
}
Christopher Deninger. On the $\Gamma$-factors of motives. II. Documenta mathematica, Tome 6 (2001), pp. 67-95. doi: 10.4171/dm/97
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