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 iX = (dim X)/3 or dimension dim X = 6. We also show that this conjecture is true for all Fano manifolds with iX > (dim X)/3.
Citation
Carla Novelli. "On Fano manifolds with an unsplit dominating family of rational curves." Kodai Math. J. 35 (3) 425 - 438, October 2012. https://doi.org/10.2996/kmj/1352985447
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