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The generalized Mukai conjecture

Source: github.com/openai/math/tree/main/preprints/The-Generalized-…

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OpenAI Mathopenai-math/The-Generalized-Mukai-ConjectureSep 24, 2026math.AGAI-generatedscore 0 · 🔥 1 post

We prove the generalized Mukai conjecture: every positive-dimensional smooth complex Fano manifold of dimension n , Picard number ρ , and pseudoindex ι satisfies $\rho(\iota-1)\le n$. Equality holds precisely for the product of ρ copies of $\mathbb P^{\iota-1}$.

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