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On Fano manifolds, which are PK-bundles over P2

Published online by Cambridge University Press:  22 January 2016

Michał Szurek  and
Jarosław A. Wiśniewski
Michał Szurek
Affiliation:
Institute of Mathematics, Warsaw University, Pałac Kultury i Nauki, 9 pietro 00-901 Warszawa, Poland
Jarosław A. Wiśniewski
Affiliation:
Institute of Mathematics, Warsaw University, Pałac Kultury i Nauki, 9 pietro 00-901 Warszawa, Poland
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In our earlier paper [8] we discussed Fano manifolds X that are of the form X = ℙ() with a rank-2 vector bundle on a surface S. Here we study a more general situation of Fano manifolds, ruled over the complex projective plane P2 as Pr-1-bundles, i.e., being of the form ℙ() with -a bundle of rank r ≥ 3 on P2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 120 , December 1990 , pp. 89 - 101
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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