Sur une conjecture de Mukai

L. Bonavero, C. Casagrande, O. Debarre +1

Generalizing a question of Mukai, we conjecture that a Fano manifold $X$ with Picard number ${\rho }_X$ and pseudo-index ${\iota }_X$ satisfies ${\rho }_X({\iota }_X-1)\le \dim (X)$. We prove this inequali…