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

نویسنده

  • Takuro Mochizuki
چکیده

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 twistor structure. As one of the applications, we obtain the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As other application, we establish the correspondence of tame harmonic bundle and a pure twistor D-module of weight 0.

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تاریخ انتشار 2008