Here we study vector bundles E on the Hirzebruch surface F e such that their twists by a spanned, but not ample, line bundle M = Fe(h + ef) have natural cohomology, i.e. h 0(F e, E(tM)) > 0 implies h 1(F e, E(tM)) = 0.
@article{bwmeta1.element.doi-10_2478_s11533-008-0009-9,
author = {Edoardo Ballico and Francesco Malaspina},
title = {Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {143-148},
zbl = {1133.14311},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0009-9}
}
Edoardo Ballico; Francesco Malaspina. Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology. Open Mathematics, Tome 6 (2008) pp. 143-148. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0009-9/
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