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arXiv · 1109.1979

On Fano manifolds with an unsplit dominating family of rational curves

Carla Novelli
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Abstract

We study Fano manifolds $X$ admitting an unsplit dominating family of rational curves and we prove that the Generalized Mukai Conjecture holds if $X$ has pseudoindex $i_X = (\dim X)/3$ or dimension $\dim X=6$. We also show that this conjecture is true for all Fano manifolds with $i_X > (\dim X)/3$.

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Carla Novelli. 2011-09-09. On Fano manifolds with an unsplit dominating family of rational curves. https://arxiv.org/abs/1109.1979

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