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arXiv 2007-10-18 2 views

Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology

Ballico, E. · Malaspina, F.

Original · EN

Here we study vector bundles E on the Hirzebruch surface Fₑ such that their twists by a spanned, but not ample, line bundle M = OFₑ(h+ef) have natural cohomology, i.e. h⁰(Fₑ,E(tM)) >0 implies h¹(Fₑ,E(tM)) = 0.

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