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arXiv · 1311.2405

Semistable Higgs bundles of small ranks are strongly Higgs semistable

Guitang Lan·Mao Sheng·Yanhong Yang·Kang Zuo
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Abstract

We give a proof of the conjecture that a semistable Higgs bundle is strongly Higgs semistable in the case of small ranks, based upon the fact that there exists a gr-semistable Griffiths-transverse filtration on a $\nabla$-invariant semistable vector bundle. The latter is a generalization of a result of Carlos Simpson.

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Guitang Lan, Mao Sheng, Yanhong Yang, Kang Zuo. 2013-11-11. Semistable Higgs bundles of small ranks are strongly Higgs semistable. https://arxiv.org/abs/1311.2405

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