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arXiv:0905.4388 [math.AG]AbstractReferencesReviewsResources

Rational curves and bounds on the Picard number of Fano manifolds

Carla Novelli, Gianluca Occhetta

Published 2009-05-27, updated 2009-12-14Version 2

We prove that Generalized Mukai Conjecture holds for Fano manifolds $X$ of pseudoindex $i_X \ge (\dim X +3)/3$. We also give different proofs of the conjecture for Fano fourfolds and fivefolds.

Comments: Modified the proof of the main theorem and eliminated a statement about the cone of curves. To appear in Geometriae Dedicata
Categories: math.AG
Subjects: 14J45, 14E30
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