Mathematics – Algebraic Geometry
Scientific paper
2005-08-06
Mathematics
Algebraic Geometry
LaTeX, 16 pages
Scientific paper
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).
Elkin Arsen
Zarhin Yuri G.
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