2 papers
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.AG2004
Hyperelliptic jacobians with real multiplication
Arsen Elkin
Let be a field of characteristic , and let be a sextic polynomial irreducible over with no repeated roots, whose Galois group is isomorphic to $\A_5$. If t…