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(Ebook) Kobayashi-Hitchin Correspondence for Tame Harmonic Bundles and an Application by Takuro Mochizuki ISBN 9782856292266, 2856292267

  • SKU: EBN-50976050
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Authors:Takuro Mochizuki
Pages:128 pages.
Year:2006
Editon:1
Publisher:Société mathématique de France
Language:english
File Size:1.08 MB
Format:pdf
ISBNS:9782856292266, 2856292267
Categories: Ebooks

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(Ebook) Kobayashi-Hitchin Correspondence for Tame Harmonic Bundles and an Application by Takuro Mochizuki ISBN 9782856292266, 2856292267

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.
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