Fano bundles and splitting theorems on projective spaces and quadrics.
V Ancona, T Peternell, JA Wiśniewski - 1994 - msp.org
V Ancona, T Peternell, JA Wiśniewski
1994•msp.orgIntroduction. In this paper rank 2 vector bundles E on projective spaces Ψn and quadrics Qn
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are
Fano manifolds, ie have negative canonical bundles. Such bundles are shortly called Fano
bundles. Up to dimension 3 Fano bundles are completely classified by
[SW],[SW],[SW"],[SSW]. The aim of this paper is to describe the structure of Fano bundles in
dimension> 4. Namely we prove the following
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are
Fano manifolds, ie have negative canonical bundles. Such bundles are shortly called Fano
bundles. Up to dimension 3 Fano bundles are completely classified by
[SW],[SW],[SW"],[SSW]. The aim of this paper is to describe the structure of Fano bundles in
dimension> 4. Namely we prove the following
Introduction. In this paper rank 2 vector bundles E on projective spaces Ψn and quadrics Qn are investigated which enjoy the additional property that their projectized bundles Ψ (E) are Fano manifolds, ie have negative canonical bundles. Such bundles are shortly called Fano bundles. Up to dimension 3 Fano bundles are completely classified by [SW],[SW],[SW"],[SSW]. The aim of this paper is to describe the structure of Fano bundles in dimension> 4. Namely we prove the following
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