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Threefolds with big and nef anticanonical bundles I

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arxiv math/0407484 v4 pith:VZY4I4LX submitted 2004-07-28 math.AG

Priska Jahnke , Thomas Peternell , Ivo Radloff This is my paper · ORCID
classification math.AG
keywords anticanonicalbundlesthreefoldsampleassociatedbasecaseclassification
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We start the classification of smooth projective threefolds X whose anticanonical bundles -K_X are big and nef but not ample. In this paper we treat the case b_2(X) = 2 and the morphism associated with the base point free linear system |-mK_X|, m>>0, is divisorial.

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  1. Images of toric variety and amplified endomorphism of weak Fano threefolds

    math.AG 2025-06 conditional novelty 5.0 of 10

    A smooth projective weak Fano threefold of Picard rank 2 that is either a toric image or admits an int-amplified endomorphism is toric, with three explicit non-Fano exceptions.

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