Classification of projective surfaces with small sectional genus : char $p$ &gt; $0$

M. Andreatta; E. Ballico

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Sia $p : X \to P^{2}$ un fibrato in coniche standard con curva discriminante $Δ$ di grado $d$ . La varietà delle sezioni minime delle superfici $p^{- 1} (C)$ , dove $C$ è una curva di grado $d - 3$ , si spezza in due componenti $C_{+}$ e $C_{-}$ . Si prova che, mediante la mappa di Abel-Jacobi $Φ$ , una di queste componenti domina la Jacobiana intermedia $J X$ , mentre l'altra domina il divisore theta $Θ \subset J X$ . Questi risultati vengono applicati ad alcuni threefold di Fano birazionalmente equivalenti a un fibrato in coniche. In particolare si prova che...

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Displaying similar documents to “Classification of projective surfaces with small sectional genus : char p &gt; 0 ”

Displaying similar documents to “Classification of projective surfaces with small sectional genus : char $p$ > $0$ ”