no. 3
On the Hodge cycles of Prym varieties
Biswas, Indranil1
1 School 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.

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 
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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://archive.numdam.org/item/ASNSP_2004_5_3_3_625_0/

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[BP] I. Biswas - K. H. Paranjape, The Hodge conjecture for general Prym varieties, Jour. Alg. Geom. 11 (2002), 33-39. | MR | Zbl

[Ho] R. E. Howe, Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989), 539-570. | MR | Zbl