The fine Tate¿Shafarevich group

• Autores: Christian Wuthrich
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 142, Nº 1, 2007, págs. 1-12
• Idioma: inglés
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• Resumen

  • Within the Tate¿Shafarevich group of an elliptic curve E defined over a number field K, there is a canonical subgroup defined by imposing stronger conditions at the places above a given prime p. This group appears naturally in the Iwasawa theory for E. We propose a study of what one can say about the relation to the full Tate¿Shafarevich group. Some numerical examples are included, as well as a few conjectures