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Fano 4-Folds with scroll structure

Published online by Cambridge University Press:  22 January 2016

Adrian Langer
Adrian Langer*
Affiliation:
Instytut Matematyki UW, ul Banacha 2, 02-097, Warszawa, alan@mimuw.edu.pl
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Abstract.

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We classify smooth Fano 4-folds with second betti number b2 = 2, possesing adjunction theoretic scroll structure. These manifolds occur to be projectivisations of coherent sheaves over Fano manifolds. The paper deals mainly with projectivisations of non-locally free rank 2 Fano sheaves over Fano 3-folds with b2 = 1, using Mori theory. By the way, we classify nef and big rank 2 bundles over P2 with the first Chern class (3).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 150 , June 1998 , pp. 135 - 176
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

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