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Article Dans Une Revue Mathematische Zeitschrift Année : 2022

Numerical characterization of some toric fiber bundles

Résumé

Given a complex projective manifold X and a divisor D with normal crossings, we say that the logarithmic tangent bundle T X (−log D) is R-flat if its pull-back to the normalization of any rational curve contained in X is the trivial vector bundle. If moreover −(K X + D) is nef, then the log canonical divisor K X + D is torsion and the maximally rationally chain connected fibration turns out to be a smooth locally trivial fibration with typical fiber F being a toric variety with boundary divisor D |F .
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Dates et versions

hal-03807398 , version 1 (09-10-2022)

Identifiants

Citer

Stéphane Druel, Federico Lo Bianco. Numerical characterization of some toric fiber bundles. Mathematische Zeitschrift, 2022, 300 (4), pp.3357-3382. ⟨10.1007/s00209-021-02760-4⟩. ⟨hal-03807398⟩
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