Every positive-dimensional smooth complex Fano manifold of dimension n, Picard number rho, and pseudoindex iota satisfies rho(iota - 1) <= n; equality holds exactly for a product of rho copies of projective space of dimension iota - 1.
Every positive-dimensional smooth complex Fano manifold of dimension n, Picard number rho, and pseudoindex iota satisfies rho(iota - 1) <= n; equality holds exactly for a product of rho copies of projective space of dimension iota - 1.
Every positive-dimensional smooth complex Fano manifold of dimension n, Picard number rho, and pseudoindex iota satisfies rho(iota - 1) <= n; equality holds exactly for a product of rho copies of projective space of dimension iota - 1.
If correct, resolves the generalized Mukai inequality and its equality classification for all smooth complex Fano manifolds.
Do the Picard number and pseudoindex of every smooth Fano manifold obey the generalized Mukai bound?
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