Characterization of the torsion of the Jacobians of two families of hyperelliptic curves

DOI10.4064/AA161-3-1zbMath1286.11094OpenAlexW2314026033MaRDI QIDQ2868206

Tomasz Jędrzejak

Publication date: 16 December 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa161-3-1

zbMATH Keywords

hyperelliptic curvesJacobian varieties

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (6)

On the torsion of the Jacobians of the hyperelliptic curves $y^{2}=x^{n}+a$ and $y^{2}=x(x^{n}+a)$ ⋮ Variations on twists of tuples of hyperelliptic curves and related results ⋮ Ranks in the family of hyperelliptic Jacobians of \(y^2=x^5+ax\) ⋮ On the Jacobian of a family of hyperelliptic curves ⋮ On the torsion of the Jacobians of superelliptic curves \(y^q = x^p + a\) ⋮ Ranks in the family of hyperelliptic Jacobians of y2 = x5 + ax II

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