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Varieties without extra automorphisms II: hyperelliptic curves

Varieties without extra automorphisms II: hyperelliptic curves

For any field k and integer g ≥ 2, we construct a hyperelliptic curve X over k of genus g such that #(Aut X) = 2.We also prove the existence of principally polarized abelian varieties (A, θ) over k of prescribed dimension g ≥ 1 such that Aut(A, θ) = …