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Article Dans Une Revue Geometriae Dedicata Année : 2013

Fundamental divisors on Fano varieties of index n − 3

Résumé

Let X be a Fano manifold of dimension n and index n − 3. Kawamata proved the non vanishing of the global sections of the fundamental divisor in the case n = 4. Moreover he proved that if Y is a general element of the fundamental system then Y has at most canonical singularities. We prove a generalization of this result in arbitrary dimension.

Dates et versions

hal-01280959 , version 1 (01-03-2016)

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Enrica Floris. Fundamental divisors on Fano varieties of index n − 3. Geometriae Dedicata, 2013, ⟨10.1007/s10711-012-9713-5⟩. ⟨hal-01280959⟩
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