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Restriction theorems for Higgs principal bundles

✍ Scribed by Indranil Biswas; Arijit Dey

Publisher
Elsevier Science
Year
2011
Tongue
French
Weight
138 KB
Volume
135
Category
Article
ISSN
0007-4497

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✦ Synopsis

We prove analogues of Grauert-MΓΌlich and Flenner's restriction theorems for semistable principal Higgs bundle over any smooth complex projective variety.

πŸ“œ SIMILAR VOLUMES

Bogomolov restriction theorem for Higgs
Bogomolov restriction theorem for Higgs bundles
✍ Indranil Biswas; Arijit Dey πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 French βš– 112 KB

Let (E, ΞΈ) be a stable Higgs bundle of rank r on a smooth complex projective surface X equipped with a polarization H . Let C βŠ‚ 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, ΞΈ) to C is a stable Higgs bundle. This is a Higgs bundl