Geodesic
On the Hodge cycles of Prym varieties
Biswas, Indranil1 idref
1School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400005, India
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 3, pp. 625-635

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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.

Classification : 14H40, 14C30

Biswas, Indranil  1

1 School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400005, India 
Biswas, Indranil. On the Hodge cycles of Prym varieties. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 3, pp. 625-635. http://geodesic.mathdoc.fr/item/ASNSP_2004_5_3_3_625_0/
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     title = {On the {Hodge} cycles of {Prym} varieties},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {625--635},
     year = {2004},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 3},
     number = {3},
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     zbl = {1112.14032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2004_5_3_3_625_0/}
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