Two-torsion of the Jacobian of hyperelliptic curves over finite fields

DOI10.1007/PL00000487zbMath1029.11021OpenAlexW1985260116MaRDI QIDQ5953120

Gunther Cornelissen

Publication date: 2 April 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000487

zbMATH Keywords

hyperelliptic curvefunction fieldfinite fieldclass groupJacobian varietytwo-torsion

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Class numbers, class groups, discriminants (11R29)

Related Items (8)

Wild Galois representations: a family of hyperelliptic curves with large inertia image ⋮ On the torsion of the Jacobians of the hyperelliptic curves $y^{2}=x^{n}+a$ and $y^{2}=x(x^{n}+a)$ ⋮ Quadratic twists of abelian varieties and disparity in Selmer ranks ⋮ l-PARTS OF DIVISOR CLASS GROUPS OF CYCLIC FUNCTION FIELDS OF DEGREE l ⋮ 2‐Selmer parity for hyperelliptic curves in quadratic extensions ⋮ Arithmetic of hyperelliptic curves over local fields ⋮ \(\ell\)-class groups of cyclic function fields of degree \(\ell\) ⋮ Constructing hyperelliptic curves with surjective Galois representations

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