
doi: 10.5802/crmath.222
In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety X . As an application, we show ampleness of some special vector bundles on certain ruled surfaces. We prove similar results for parabolic ampleness.
Projective techniques in algebraic geometry, QA1-939, ample bundles, \(n\)-folds (\(n>4\)), complex projective varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Mathematics, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
Projective techniques in algebraic geometry, QA1-939, ample bundles, \(n\)-folds (\(n>4\)), complex projective varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Mathematics, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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