T. Mochizuki

activity

20022004

most citedAsymptotic behaviour of tame harmonic bundles and an application to pure twistor

D

-modules

120 citations · 234 across the 7 of their papers we have counts for

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4 papers · 1 filter

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 $μ_{L}$ -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 $L$ be a local system on a smooth quasi projective variety over $\cnum$. We see that $L$ 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 $D$ -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…

math.DG2002

Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure

Takuro Mochizuki

Let $E$ be a holomorphic vector bundle. Let $θ$ be a Higgs field, that is a holomorphic section of $E n d (E) \otimes Ω_{X}^{1, 0}$ satisfying $θ^{2} = 0$ . Let $h$ be a pluriharmonic metric of…

Kobayashi-Hitchin correspondence for tame harmonic bundles and an application

A characterization of semisimple local system by tame pure imaginary pluri-harmonic metric

Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules

Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure

Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$ -modules