On the Hodge cycles of Prym varieties
Indranil Biswas (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
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.