Bogomolov inequality for Higgs parabolic bundles |
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Authors: | B Anchouche |
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Institution: | Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, H3A 2K6, Quebec, Canada.?E-mail: anchouch@math.mcgill.ca, CA
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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
Received: 1 March 1999 / Revised version: 11 June 1999 |
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Keywords: | Mathematics Subject Classification (1991):14J60 14F05 |
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