Threefolds with big and nef anticanonical bundles II

Priska Jahnke; Thomas Peternell; Ivo Radloff

Open Mathematics (2011)

  • Volume: 9, Issue: 3, page 449-488
  • ISSN: 2391-5455

Abstract

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In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −K X big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X + are not both birational.

How to cite

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Priska Jahnke, Thomas Peternell, and Ivo Radloff. "Threefolds with big and nef anticanonical bundles II." Open Mathematics 9.3 (2011): 449-488. <http://eudml.org/doc/269216>.

@article{PriskaJahnke2011,
abstract = {In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −K X big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X + are not both birational.},
author = {Priska Jahnke, Thomas Peternell, Ivo Radloff},
journal = {Open Mathematics},
keywords = {Fano varieties; Threefolds; Rational and birational maps; Fano threefolds},
language = {eng},
number = {3},
pages = {449-488},
title = {Threefolds with big and nef anticanonical bundles II},
url = {http://eudml.org/doc/269216},
volume = {9},
year = {2011},
}

TY - JOUR
AU - Priska Jahnke
AU - Thomas Peternell
AU - Ivo Radloff
TI - Threefolds with big and nef anticanonical bundles II
JO - Open Mathematics
PY - 2011
VL - 9
IS - 3
SP - 449
EP - 488
AB - In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −K X big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X + are not both birational.
LA - eng
KW - Fano varieties; Threefolds; Rational and birational maps; Fano threefolds
UR - http://eudml.org/doc/269216
ER -

References

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