Exhibiting SHA[2] on hyperelliptic Jacobians

DOI10.1016/j.jnt.2005.10.007zbMath1118.14035OpenAlexW2007109911MaRDI QIDQ852538

Nils Bruin, E. Victor Flynn

Publication date: 15 November 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:2f8e607e-4f8a-4e22-9ff0-3a1b215be8ae

zbMATH Keywords

Shafarevich-Tate groupvisualisationBrauer-Manin obstructionhigher genus curves

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items

Chabauty Without the Mordell-Weil Group ⋮ Cycles of covers ⋮ Homogeneous spaces and degree 4 del Pezzo surfaces ⋮ Rational points on curves ⋮ Tate-Shafarevich groups and $K3$ surfaces ⋮ Nontrivial elements of Sha explained through K3 surfaces ⋮ The Brauer-Manin Obstruction and III[2] ⋮ Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2

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