Semistable Higgs bundles of small ranks are strongly Higgs semistable

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.

7 pages

References in corpus (1)

• Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case

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