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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.

On the Hurwitz scheme and its monodromy

David Eisenbud, Noam Elkies, Joe Harris, Robert Speiser (1991)

Compositio Mathematica

On the Kodaira dimension of the moduli space of curves, II. The even-genus case.

J. Harris (1984)

Inventiones mathematicae

On the Monodromy Group of Plane Curve Singularities.

Bronislaw Wajnryb (1979)

Mathematische Annalen

One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions.

Costa, Antonio F., Izquierdo, Milagros, Riera, Gonzalo (2008)

International Journal of Mathematics and Mathematical Sciences

Displaying 1 – 17 of 17

On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.

On deformation of maximally degenerate stable marked curves and Oda's problem.

On galois automorphisms of the fundamental group of the projective line minus three points.

On Galois module structure of the cohomology groups of an algebraic variety.

On Galois representations arising from towers of coverings of P1 ... .

On $p$ -adic uniformization

On Stable and Ample Vector Bundles of Rank 2 on Curves.

On the Beckmann-Black problem

On the deformation of Artin-Schreier to Kummer

On the determinant of periods with finite monodromy.

On the Diophantine equation f(y) - x = 0

On the Euler number of an orbifold.

On the Hodge cycles of Prym varieties

On the Hurwitz scheme and its monodromy

On the Kodaira dimension of the moduli space of curves, II. The even-genus case.

On the Monodromy Group of Plane Curve Singularities.

One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions.

Currently displaying 1 – 17 of 17