120 citations · 212 across the 3 of their papers we have counts for
3 papers
math.DG2004★ 90 cited
Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
Takuro Mochizuki
We establish the correspondence between tame harmonic bundles and -stable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type…
math.DG2004★ 2 cited
A characterization of semisimple local system by tame pure imaginary pluri-harmonic metric
Takuro Mochizuki
Let be a local system on a smooth quasi projective variety over $\cnum$. We see that is semisimple if and only if there exists a tame pure imaginary pluri-harmonic metric o…
math.DG2003★ 120 cited
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor -modules
Takuro Mochizuki
We study the asymptotic behaviour of tame harmonic bundles. First of all, we prove a local freeness of the prolongation by an increasing order. Then we obtain the polarized mixed t…