Wild Harmonic Bundles and Wild Pure Twistor D-modules

نویسنده

  • Takuro Mochizuki
چکیده

We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, (iii) the relation between wild harmonic bundles and polarized wild pure twistor D-modules. As an application, we show the hard Lefschetz theorem for algebraic semisimple holonomic D-modules, conjectured by M. Kashiwara. We also study resolution of turning points for algebraic meromorphic flat bundles, and we show the existence of the good Deligne-Malgrange lattice after blow up, which seems of foundational importance for the study algebraic D-modules.

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تاریخ انتشار 2008