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arxiv: math/0406273 · v1 · submitted 2004-06-14 · 🧮 math.NT · math.AG

Homomorphisms of abelian varieties

classification 🧮 math.NT math.AG
keywords abelianalgebraapplicationsdiscussearlierendomorphismgaloisgiven
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We discuss Galois properties of points of prime order on an abelian variety that imply the simplicity of its endomorphism algebra. Applications to hyperelliptic jacobians are given. In particular, we improve some of our earlier results.

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