
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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