Bogomolov inequality for Higgs parabolic bundles

B. Anchouche

doi:10.1007/s002290050210

Bogomolov inequality for Higgs parabolic bundles

B. Anchouche^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We show that over some smooth projective varieties every semistable Higgs logarithmic vector bundle is semistable in the ordinary sense, hence satisfies Bogomolov inequality. More generaly, we prove that semistable Higgs parabolic vector bundles of rank two over smooth projective varieties of dimension ≥ 2 satisfy the "parabolic" 'Bogomolov inequality.

Original language	English
Pages (from-to)	423-436
Number of pages	14
Journal	Manuscripta Mathematica
Volume	100
Issue number	4
DOIs	https://doi.org/10.1007/s002290050210
Publication status	Published - Dec 1999

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s002290050210

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AB - We show that over some smooth projective varieties every semistable Higgs logarithmic vector bundle is semistable in the ordinary sense, hence satisfies Bogomolov inequality. More generaly, we prove that semistable Higgs parabolic vector bundles of rank two over smooth projective varieties of dimension ≥ 2 satisfy the "parabolic" 'Bogomolov inequality.

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JF - Manuscripta Mathematica

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Bogomolov inequality for Higgs parabolic bundles

Abstract

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