%0 Journal Article %T Endomorphism algebras of hyperelliptic jacobians and finite projective lines %A Arsen Elkin %A Yuri G. Zarhin %J Mathematics %D 2005 %I arXiv %X 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 over the ground field of characteristic zero and its Galois group is L_2(q). %U http://arxiv.org/abs/math/0508120v5