Kobayashi-Hitchin Correspondence for Tame Harmonic Bundles and an Application
Author | : Takuro Mochizuki |
Publisher | : |
Total Pages | : 132 |
Release | : 2006 |
ISBN-10 | : UVA:X030230973 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book Kobayashi-Hitchin Correspondence for Tame Harmonic Bundles and an Application written by Takuro Mochizuki and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author establishes the correspondence between tame harmonic bundles and $\mu _L$-polystable parabolic Higgs bundles with trivial characteristic numbers. He also shows the Bogomolov-Gieseker type inequality for $\mu _L$-stable parabolic Higgs bundles. The author shows that any local system on a smooth quasiprojective variety can be deformed to a variation of polarized Hodge structure. He then concludes that some kind of discrete groups cannot be a split quotient of the fundamental group of a smooth quasiprojective variety.