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Non-supersingular Hyperelliptic jacobians

Yuri G. Zarhin
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Abstract

In his previous papers the author proved that in characteristic different from 2 the jacobian J(C) of a hyperelliptic curve C: y^2=f(x) has only trivial endomorphisms over an algebraic closure K_a of the ground field K if the Galois group of the irreducible polynomial f(x) in K[x] is either the full symmetric group S_n or the alternating group A_n. Here n > 8 is the degree of f. The goal of this paper is to extend this result to the case when either n=7,8 or n=5,6 and char(K)>3.

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BibTeXRIS

Yuri G. Zarhin. 2004-01-23. Non-supersingular Hyperelliptic jacobians. https://arxiv.org/abs/math/0311137

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