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Endomorphism Algebras of Hyperelliptic Jacobians and Finite Projective Lines II
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We prove that the jacobian of a hyperelliptic curve y2=f(x) is either absolutely simple or isogenous to a self-product of a CM elliptic curve if deg (f)=q+1 where q is a power prime congruent to 7 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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