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arXiv · 0910.3703

The cones of effective cycles on projective bundles over curves

Mihai Fulger
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Abstract

Generalizing work done by Miyaoka and others in the case of divisors and of curves, we compute the cones of effective cycles of arbitrary dimension on a projective bundle over a complex projective curve in terms of the numerical data in an associated Harder-Narasimhan filtration. An application to cycles on projective bundles over a smooth complex projective base of arbitrary dimension is also given.

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Mihai Fulger. 2012-02-06. The cones of effective cycles on projective bundles over curves. https://arxiv.org/abs/0910.3703

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