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On Fano manifolds, which are P K -bundles over P 2

Michał Szurek, Jarosław A. Wiśniewski

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Source: Crossref

Published: Dec 1, 1990

DOI: 10.1017/s0027763000003275

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Source abstract

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 P 2 as P r-1 -bundles, i.e., being of the form ℙ( ) with -a bundle of rank r ≥ 3 on P 2 .

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On Fano manifolds, which are P K -bundles over P 2 — Mathematical Frontier Network