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- Euler_system abstract "In mathematics, an Euler system is a collection of compatible elements of Galois cohomology groups indexed by fields. They were introduced by Kolyvagin (1990) in his work on Heegner points on modular elliptic curves, which was motivated by his earlier paper Kolyvagin (1988) and the work of Thaine (1988). Euler systems are named after Leonhard Euler because the factors relating different elements of an Euler system resemble the Euler factors of an Euler product.Euler systems can be used to construct annihilators of ideal class groups or Selmer groups, thus giving bounds on their orders, which in turn has led to deep theorems such as the finiteness of some Tate-Shafarevich groups. This led to Karl Rubin's new proof of the main conjecture of Iwasawa theory, considered simpler than the original proof due to Barry Mazur and Andrew Wiles.".
- Euler_system wikiPageExternalLink books?isbn=0691050767.
- Euler_system wikiPageExternalLink books?isbn=9780521644198.
- Euler_system wikiPageExternalLink 18.pdf.
- Euler_system wikiPageExternalLink projects.html.
- Euler_system wikiPageExternalLink KolySys.pdf.
- Euler_system wikiPageID "1052176".
- Euler_system wikiPageLength "8396".
- Euler_system wikiPageOutDegree "30".
- Euler_system wikiPageRevisionID "622301335".
- Euler_system wikiPageWikiLink Absolute_Galois_group.
- Euler_system wikiPageWikiLink Alexander_Beilinson.
- Euler_system wikiPageWikiLink Algebraic_K-theory.
- Euler_system wikiPageWikiLink Andrew_Wiles.
- Euler_system wikiPageWikiLink Annals_of_Mathematics.
- Euler_system wikiPageWikiLink Barry_Mazur.
- Euler_system wikiPageWikiLink Cambridge_University_Press.
- Euler_system wikiPageWikiLink Category:Algebraic_number_theory.
- Euler_system wikiPageWikiLink Elliptic_curve.
- Euler_system wikiPageWikiLink Euler_factor.
- Euler_system wikiPageWikiLink Euler_product.
- Euler_system wikiPageWikiLink Field_extension.
- Euler_system wikiPageWikiLink Galois_cohomology.
- Euler_system wikiPageWikiLink Gras_conjecture.
- Euler_system wikiPageWikiLink Heegner_point.
- Euler_system wikiPageWikiLink Ideal_class_group.
- Euler_system wikiPageWikiLink Karl_Rubin.
- Euler_system wikiPageWikiLink Kazuya_Kato.
- Euler_system wikiPageWikiLink Leonhard_Euler.
- Euler_system wikiPageWikiLink Main_conjecture_of_Iwasawa_theory.
- Euler_system wikiPageWikiLink Mathematics.
- Euler_system wikiPageWikiLink Modular_curve.
- Euler_system wikiPageWikiLink Modular_elliptic_curve.
- Euler_system wikiPageWikiLink Princeton_University_Press.
- Euler_system wikiPageWikiLink Selmer_group.
- Euler_system wikiPageWikiLink Springer-Verlag.
- Euler_system wikiPageWikiLink Springer_Science+Business_Media.
- Euler_system wikiPageWikiLink Tate-Shafarevich_group.
- Euler_system wikiPageWikiLink Tate–Shafarevich_group.
- Euler_system wikiPageWikiLinkText "Euler system".
- Euler_system b "n".
- Euler_system first "Grzegorz".
- Euler_system hasPhotoCollection Euler_system.
- Euler_system id "e/e120240".
- Euler_system last "Banaszak".
- Euler_system p "l".
- Euler_system title "Euler systems for number fields".
- Euler_system wikiPageUsesTemplate Template:Citation.
- Euler_system wikiPageUsesTemplate Template:Eom.
- Euler_system wikiPageUsesTemplate Template:Harvs.
- Euler_system wikiPageUsesTemplate Template:Harvtxt.
- Euler_system wikiPageUsesTemplate Template:L-functions-footer.
- Euler_system wikiPageUsesTemplate Template:Reflist.
- Euler_system wikiPageUsesTemplate Template:Su.
- Euler_system subject Category:Algebraic_number_theory.
- Euler_system hypernym Collection.
- Euler_system type Book.
- Euler_system comment "In mathematics, an Euler system is a collection of compatible elements of Galois cohomology groups indexed by fields. They were introduced by Kolyvagin (1990) in his work on Heegner points on modular elliptic curves, which was motivated by his earlier paper Kolyvagin (1988) and the work of Thaine (1988).".
- Euler_system label "Euler system".
- Euler_system sameAs Sistema_de_Euler.
- Euler_system sameAs Systxc3xa8me_dEuler.
- Euler_system sameAs Sistema_di_Eulero.
- Euler_system sameAs m.041t5n.
- Euler_system sameAs Eulersystem.
- Euler_system sameAs Q1053779.
- Euler_system sameAs Q1053779.
- Euler_system wasDerivedFrom Euler_system?oldid=622301335.
- Euler_system isPrimaryTopicOf Euler_system.