### 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 |
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Pages (from-to) | 423-436 |

Number of pages | 14 |

Journal | Manuscripta Mathematica |

Volume | 100 |

Issue number | 4 |

Publication status | Published - Dec 1999 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Anchouche, B. (1999). Bogomolov inequality for Higgs parabolic bundles.

*Manuscripta Mathematica*,*100*(4), 423-436.