We find all the arithmetically Gorenstein divisors on Fano varieties Y dimension n and index r with 3 ≤ n ≤ 2r −1 and ρ(Y ) ≥ 2, where Y is smooth, connected, subcanonical and linearly normal in a projective space. The proof is based on the classification of smooth Fano varieties of dimension n and index r≥2 with n≤2r−1 and ρ(Y)≥2
Classification of arithmetically Gorenstein divisors on some Fano varieties / Ciolli, Gianni; Dolcetti, Alberto. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - STAMPA. - 188:(2009), pp. 611-617. [10.1007/s10231-008-0092-3]
Classification of arithmetically Gorenstein divisors on some Fano varieties
CIOLLI, GIANNI;DOLCETTI, ALBERTO
2009
Abstract
We find all the arithmetically Gorenstein divisors on Fano varieties Y dimension n and index r with 3 ≤ n ≤ 2r −1 and ρ(Y ) ≥ 2, where Y is smooth, connected, subcanonical and linearly normal in a projective space. The proof is based on the classification of smooth Fano varieties of dimension n and index r≥2 with n≤2r−1 and ρ(Y)≥2
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