The cones of effective cycles on projective bundles over curves
Algebraic Geometry
2012-02-07 v2
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.
Keywords
Cite
@article{arxiv.0910.3703,
title = {The cones of effective cycles on projective bundles over curves},
author = {Mihai Fulger},
journal= {arXiv preprint arXiv:0910.3703},
year = {2012}
}
Comments
v2: fixed some typos, and an error in the introduction where numerical spaces were defined as subspaces in cohomology