Rational curves and ampleness properties¶of the tangent bundle of algebraic varieties |
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| Authors: | Frédéric Campana Thomas Peternell |
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| Affiliation: | Université de Nancy I, Département de Mathématiques, B.P. 239, F-54506 Vandoeuvre les Nancy Cedex, France. e-mail: frederic.campana@iecn.u-nancy.fr, FR
Mathematisches Institut, Universit?t Bayreuth, D-95440 Bayreuth, Germany. e-mail: thomas.peternell@uni-bayreuth.de, DE
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| Abstract: | Let X be a projective manifold, a locally free ample subsheaf of the tangent bundle T X . If and or n, we prove that . Furthermore we investigate ampleness properties of T X on large families of curves and the relation to rational connectedness. Received: 2 July 1996 |
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| Keywords: | Mathematics Subject Classification (1991):14J40 14M20 |
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