4-folds with numerically effective tangent bundles and second Betti numbers greater than one
type: Item
instance of: scholarly article
title: 4-folds with numerically effective tangent bundles and second Betti numbers greater than one
zbMATH Open document ID: 0799.14022
DOI: 10.1007/BF02568341
author: Frédéric Campana
author: Thomas Peternell
published in: Manuscripta Mathematica
publication date: 1994-11-24T00:00:00Z
full work available at URL: https://eudml.org/doc/155837
review text: The authors study the four-dimensional manifolds \(X\) whose tangent bundles \(T_ X\) are numerically effective and they give a complete classification, except for the case of Fano 4-folds with \(b_ 2 = 1\) and index 1. -- The main tools for the proof are the Albanese map, the ``Mori contraction'' of extremal rays and the results obtained by the same authors in their previous paper: Math. Ann. 289, No. 1, 169-187 (1991; Zbl 0729.14032).
Mathematics Subject Classification ID: 14J35
Mathematics Subject Classification ID: 14C20
zbMATH DE Number: 492743
zbMATH Keywords: numerically effective tangent bundles
zbMATH Keywords: Mori contraction
zbMATH Keywords: fourfolds
zbMATH Keywords: Albanese map
zbMATH Keywords: extremal rays
reviewed by: Luciana Picco Botta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 492743