Abelian varieties associated to certain K3 surfaces

Kapil Paranjape

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Displaying similar documents to “Abelian varieties associated to certain K3 surfaces”

Prym varieties and the canonical map of surfaces of general type

Ciro Ciliberto, Rita Pardini, Francesca Tovena (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the Hodge cycles of Prym varieties

Indranil Biswas (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We show that the Néron–Severi group of the Prym variety for a degree three unramified Galois covering of a hyperelliptic Riemann surface has a distinguished subgroup of rank three. For the general hyperelliptic curve, the algebra of Hodge cycles on the Prym variety is generated by this group of rank three.