Family 063Algebraic and complex geometryNo LeanNot yet digested
The generalized Mukai conjecture
Proves the generalized Mukai conjecture: every positive-dimensional smooth complex projective Fano manifold of dimension n, Picard number ρ and pseudoindex ι satisfies , with equality exactly for . Here the pseudoindex is the least anticanonical degree of a rational curve.
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The generalized Mukai conjecture
Sep 24, 2026·article.pdf
We prove the generalized Mukai conjecture: every positive-dimensional smooth complex Fano manifold of dimension n, Picard number ρ, and pseudoindex ι satisfies . Equality holds precisely for the product of ρ copies of .