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math.AG2005
Endomorphism algebras of hyperelliptic jacobians and finite projective lines
Arsen Elkin, Yuri G. Zarhin
We prove that the jacobian of a hyperelliptic curve y^2=f(x) is absolutely simple if deg(f)=q+1 where q is a power prime congruent to 5 modulo 8, the polynomial f(x) is irreducible…
math.AG2005
Finite linear groups, lattices, and products of elliptic curves
Vladimir L. Popov, Yuri G. Zarhin
Let be a finite dimensional complex linear space and let be an irreducible finite subgroup of $\GL(V)$. For a -invariant lattice in of maximal rank, we give a de…