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Threefolds with big and nef anticanonical bundles I

Priska Jahnke·Thomas Peternell·Ivo Radloff
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Abstract

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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Priska Jahnke, Thomas Peternell, Ivo Radloff. 2005-07-12. Threefolds with big and nef anticanonical bundles I. https://arxiv.org/abs/math/0407484

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