Selmer groups over - adic lie extensions I

• Autores: Sarah Livia Zerbes
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 70, Nº 3, 2004, págs. 586-608
• Idioma: inglés
• DOI: 10.1112/s002461070400568x
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• Resumen

  • Let be an elliptic curve defined over a number field . The paper concerns the structure of the -Selmer group of over -adic Lie extensions of which are obtained by adjoining to the -division points of an abelian variety defined over . The main focus of the paper is the calculation of the Gal-Euler characteristic of the -Selmer group of . The main theory is illustrated with the example of an elliptic curve of conductor 294.