Hyperelliptic jacobians and projective linear Galois groups (original) (raw)
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This paper investigates the endomorphisms of hyperelliptic jacobians, specifically when the Galois group of certain irreducible polynomials is 'very big.' It extends previous results that addressed various group types, showing that under these conditions, the endomorphism ring of the jacobian is trivial or relates to supersingular abelian varieties. Key theorems elucidate the structure of these groups and their implications for the endomorphisms in cases involving simple non-abelian groups.
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