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Restriction theorems for principal bundles

✍ Scribed by Indranil Biswas; Tomás L. Gómez

Publisher
Springer
Year
2003
Tongue
English
Weight
237 KB
Volume
327
Category
Article
ISSN
0025-5831

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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 where R = max{ r s r-1 s-1 : 1 s r -1}, then we prove that the restriction of (E, θ) to C is a stable Higgs bundle. This is a Higgs bundl