We prove that Generalized Mukai Conjecture holds for Fano manifolds X of pseudoindex iX≥ (dimX+ 3)/3. We also give different proofs ofthe conjecture for Fano fourfolds and fivefolds.
Rational curves and bounds on the Picard number of Fano manifolds / C., Novelli; Occhetta, Gianluca. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 2010, 147:1(2010), pp. 207-217.
Rational curves and bounds on the Picard number of Fano manifolds.
Occhetta, Gianluca
2010-01-01
Abstract
We prove that Generalized Mukai Conjecture holds for Fano manifolds X of pseudoindex iX≥ (dimX+ 3)/3. We also give different proofs ofthe conjecture for Fano fourfolds and fivefolds.File in questo prodotto:
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