Threefolds with big and nef anticanonical bundles I

Details Threefolds with big and nef anticanonical bundles I Threefolds with big and nef anticanonical bundles I

2004-07-28

arxiv.org/abs/math/0407484v4

Math. Ann. 333, No.3 (2005), 569-631

Mathematics

Algebraic Geometry

51 pages, LaTeX2e; final version, to appear in Math. Ann

Scientific paper

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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