A generalization of the Cassels-Tate dual exact sequence

• Autores: Cristian D. González Avilés, Ki-Seng Tan
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 2, 2007, págs. 295-302
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n2.a11
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• Resumen

  • We extend the first part of the well-known Cassels-Tate dual exact sequence for abelian varieties $A$ over global fields $K$ in two directions: we treat the $p$-primary component in the function field case, where $p$ is the characteristic of $K$, and we dispense with the assumption that the Tate-Shafarevich group of $A$ is finite.