top
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.
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 -