Threefolds with big and nef anticanonical bundles II
Priska Jahnke, Thomas Peternell, Ivo Radloff

TL;DR
This paper classifies certain smooth complex threefolds with big and nef anticanonical bundles, focusing on cases with Picard number 2 and specific properties of their anticanonical maps and contractions.
Contribution
It extends previous work by classifying threefolds with big and nef anticanonical bundles under new conditions on their contractions and anticanonical maps.
Findings
Classification of threefolds with specified properties
Identification of cases where the anticanonical map is small
Analysis of Mori contractions and flops in these threefolds
Abstract
In continuation of our paper in Math. Ann. 333 we classify smooth complex projective threefolds X with -K_X big and nef but not ample and Picard number 2, whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop are not both birational.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory
