Wild Harmonic Bundles and Wild Pure Twistor D-modules
Differential Geometry
2010-07-06 v4 Algebraic Geometry
Abstract
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 -modules. As an application, we show the hard Lefschetz theorem for algebraic semisimple holonomic -modules, conjectured by M. Kashiwara.
Cite
@article{arxiv.0803.1344,
title = {Wild Harmonic Bundles and Wild Pure Twistor D-modules},
author = {Takuro Mochizuki},
journal= {arXiv preprint arXiv:0803.1344},
year = {2010}
}
Comments
v2: Many additional explanations and reviews are included. v3: Format is changed. Some statements are slightly refined. v4: Part I is reorganized. Some statements are refined