Rational curves and bounds on the Picard number of Fano manifolds
classification
🧮 math.AG
keywords
fanoconjecturemanifoldsboundscurvesdifferentfivefoldsfourfolds
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We prove that Generalized Mukai Conjecture holds for Fano manifolds $X$ of pseudoindex $i_X \ge (\dim X +3)/3$. We also give different proofs of the conjecture for Fano fourfolds and fivefolds.
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