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arXiv · 0905.4388

Rational curves and bounds on the Picard number of Fano manifolds

Carla Novelli·Gianluca Occhetta
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Abstract

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.

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Carla Novelli, Gianluca Occhetta. 2009-12-14. Rational curves and bounds on the Picard number of Fano manifolds. https://arxiv.org/abs/0905.4388

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