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Bogomolov restriction theorem for Higgs bundles
I. Biswas,
Published in
2011
Volume: 135
   
Issue: 2
Pages: 178 - 186
Abstract
Let.(E,θ) be a stable Higgs bundle of rank.ron a smooth complex projective surface.X equipped with a polarization.H.Let.C⊂X be a smooth complete curve with.[C]=n · H. If, where. then we prove that the restriction of.(E, θ) to C is a stable Higgs bundle. This is a Higgs bundle analog of Bogomolov's restriction theorem for stable vector bundles. © 2010 Elsevier Masson SAS.
About the journal
JournalBulletin des Sciences Mathematiques
ISSN00074497
Open AccessFalse