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THE GROWTH OF THE SELMER GROUP OF AN ELLIPTIC CURVE WITH SPLIT MULTIPLICATIVE REDUCTION

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Publication:5408833
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DOI10.1142/S1793042113501170zbMath1295.11062OpenAlexW1985682310MaRDI QIDQ5408833

Meng Fai Lim, V. Kumar Murty

Publication date: 11 April 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042113501170

zbMATH Keywords

elliptic curveSelmer groupsplit multiplicative reductionTamagawa factor


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23) Galois cohomology (11R34)


Related Items

Control theorems for fine Selmer groups, Arithmetic statistics and noncommutative Iwasawa theory



Cites Work

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  • Notes on non-commutative Iwasawa theory
  • Elliptic curves with large Tate-Shafarevich groups over a number field
  • The growth of Selmer ranks of an abelian variety with complex multiplication
  • Growth of Selmer rank in nonabelian extensions of number fields
  • On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
  • Good reduction of abelian varieties
  • Rational points of Abelian varieties with values in towers of number fields
  • SELMER GROUPS AND GENERALIZED CLASS FIELD TOWERS
  • On the ranks of Iwasawa modules over $p$ -adic Lie extensions
  • Galois cohomology of elliptic curves
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