A Note on Bogomolov-Type Inequality for Semi-stable Parabolic Higgs Bundles

Changpeng Pan

doi:10.1007/s40304-020-00231-6

Communications in Mathematics and Statistics ›› 2022, Vol. 10 ›› Issue (2) : 287 -298. DOI: 10.1007/s40304-020-00231-6

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A Note on Bogomolov-Type Inequality for Semi-stable Parabolic Higgs Bundles

Changpeng Pan ¹^,^a

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Abstract

In this paper, we prove a Chern number inequality for Higgs bundles over some Kähler manifolds. As an application, we get the Bogomolov inequality for semi-stable parabolic Higgs bundles over smooth projective varieties.

Keywords

Parabolic Higgs bundle / Semi-stable / Bogomolov inequality

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Changpeng Pan. A Note on Bogomolov-Type Inequality for Semi-stable Parabolic Higgs Bundles. Communications in Mathematics and Statistics, 2022, 10(2): 287-298 DOI:10.1007/s40304-020-00231-6