Serie : Astérisque. Vol 309
Paru le 15/01/2007 | Broché VIII-117 pages
We establish the correspondence between tame harmonic bundles and µL-polystable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type inequality for µL-stable parabolic Higgs bundles.
Then we show that any local system on a smooth quasiprojective variety can be deformed to a variation of polarized Hodge structure. As a consequence, we can conclude that some kind of discrete groups cannot be a split quotient of the fundamental group of a smooth quasiprojective variety.
