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Kobayashihitchin Correspondence For Tame Harmonic Bundles And An Application 1st Edition Takuro Mochizuki

  • SKU: BELL-50976050
Kobayashihitchin Correspondence For Tame Harmonic Bundles And An Application 1st Edition Takuro Mochizuki
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Kobayashihitchin Correspondence For Tame Harmonic Bundles And An Application 1st Edition Takuro Mochizuki instant download after payment.

Publisher: Société mathématique de France
File Extension: PDF
File size: 1.08 MB
Pages: 128
Author: Takuro Mochizuki
ISBN: 9782856292266, 2856292267
Language: English
Year: 2006
Edition: 1
Volume: 1

Product desciption

Kobayashihitchin Correspondence For Tame Harmonic Bundles And An Application 1st Edition Takuro Mochizuki by Takuro Mochizuki 9782856292266, 2856292267 instant download after payment.

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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