120 citations · 234 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
The structure of the cohomology ring of the filt schemes
Takuro Mochizuki
Let be a smooth projective curve over the complex number field $\cnum$. We investigate the structure of the cohomology ring of the quot schemes $\Quot(r,n)$, i.e., the moduli s…
Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure
Takuro Mochizuki
Let be a holomorphic vector bundle. Let be a Higgs field, that is a holomorphic section of satisfying . Let be a pluriharmonic metric of…
The geometry of the parabolic Hilbert schemes
Takuro Mochizuki
We discuss the parabolic Hilbert scheme of points on smooth surface, which is an interesting generalization of Hilbert scheme of points on surface. Some of the studies by Ellingsru…