Varieties with generically nef tangent bundles

Thomas Peternell

Journal of the European Mathematical Society (2012)

  • Volume: 014, Issue: 2, page 571-603
  • ISSN: 1435-9855

Abstract

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We study various "generic" nefness and ampleness notions for holomorphic vector bundles on a projective manifold. We apply this in particular to the tangent bundle and investigate the relation to the geometry of the manifold.

How to cite

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Peternell, Thomas. "Varieties with generically nef tangent bundles." Journal of the European Mathematical Society 014.2 (2012): 571-603. <http://eudml.org/doc/277496>.

@article{Peternell2012,
abstract = {We study various "generic" nefness and ampleness notions for holomorphic vector bundles on a projective manifold. We apply this in particular to the tangent bundle and investigate the relation to the geometry of the manifold.},
author = {Peternell, Thomas},
journal = {Journal of the European Mathematical Society},
keywords = {generically nef bundle; semi-stable bundle; rational connectedness; Fano manifold; generically nef vector bundle; semi-stable vector bundle; rational connectedness; Fano manifold},
language = {eng},
number = {2},
pages = {571-603},
publisher = {European Mathematical Society Publishing House},
title = {Varieties with generically nef tangent bundles},
url = {http://eudml.org/doc/277496},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Peternell, Thomas
TI - Varieties with generically nef tangent bundles
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 2
SP - 571
EP - 603
AB - We study various "generic" nefness and ampleness notions for holomorphic vector bundles on a projective manifold. We apply this in particular to the tangent bundle and investigate the relation to the geometry of the manifold.
LA - eng
KW - generically nef bundle; semi-stable bundle; rational connectedness; Fano manifold; generically nef vector bundle; semi-stable vector bundle; rational connectedness; Fano manifold
UR - http://eudml.org/doc/277496
ER -

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