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4-folds with numerically effective tangent bundles and second Betti numbers greater than one. (English) Zbl 0799.14022
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).

MSC:
 14J35 $$4$$-folds 14C20 Divisors, linear systems, invertible sheaves
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References:
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