Hyperelliptic jacobians without complex multiplication

Details Hyperelliptic jacobians without complex multiplication Hyperelliptic jacobians without complex multiplication

1999-09-09

arxiv.org/abs/math/9909052v2

Mathematics

Algebraic Geometry

LaTeX2e, 8 pages

Scientific paper

We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no
nontrivial endomorphisms over an algebraic closure of the ground field of
characteristic zero if the Galois group of the polynomial f is ``very big''.

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