Endomorphism algebras of hyperelliptic jacobians and finite projective lines
Arsen Elkin, Yuri G. Zarhin
Abstract
We prove that the jacobian of a hyperelliptic curve y2=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 L2(q).
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