Bogomolov restriction theorem for Higgs bundles |
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Authors: | Indranil Biswas Arijit Dey |
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Institution: | aSchool of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India;bMax Planck Institute for Mathematics, Bonn 53115, Germany |
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Abstract: | Let (E,θ) be a stable Higgs bundle of rank r on 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. |
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Keywords: | MSC: 14F05 |
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