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Euler system
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==References== * {{eom|id=e/e120240|first=Grzegorz|last= Banaszak|title=Euler systems for number fields}} *{{Citation | last=Beilinson | first=Alexander | author-link=Alexander Beilinson | contribution=Higher regulators and values of L-functions | editor=R. V. Gamkrelidze | title=Current problems in mathematics | volume=24 | year=1984 | pages=181–238 | mr=0760999 | language=Russian }} * {{citation | first1=J.H. | last1=Coates | authorlink1=John Coates (mathematician) | first2=R. | last2=Greenberg | first3=K.A. | last3=Ribet | authorlink3=Kenneth Alan Ribet | first4=K. | last4=Rubin | authorlink4=Karl Rubin | title=Arithmetic Theory of Elliptic Curves | series=Lecture Notes in Mathematics | volume=1716 | publisher=[[Springer-Verlag]] | year=1999 | isbn=3-540-66546-3 }} * {{citation | first1=J. | last1=Coates | authorlink1=John Coates (mathematician) | first2=R. | last2=Sujatha | authorlink2=Sujatha Ramdorai | title=Cyclotomic Fields and Zeta Values | series=Springer Monographs in Mathematics | publisher=Springer-Verlag | year=2006 | isbn=3-540-33068-2 | chapter=Euler systems | pages=71–87 }} *{{Citation | last=Kato | first=Kazuya | author-link=Kazuya Kato | contribution=''p''-adic Hodge theory and values of zeta functions of modular forms |editor=Pierre Berthelot |editor2=Jean-Marc Fontaine |editor3=Luc Illusie |editor4=Kazuya Kato |editor5=Michael Rapoport | title=Cohomologies p-adiques et applications arithmétiques. III. | year=2004 | publisher=Société Mathématique de France | location=Paris | series=Astérisque | volume=295 | pages=117–290 | mr=2104361 }} *{{Citation | last=Kato | first=Kazuya | author-link=Kazuya Kato | contribution=Iwasawa theory and generalizations | editor1=Marta Sanz-Solé | editor1-link=Marta Sanz-Solé | editor2=Javier Soria | editor3=Juan Luis Varona |display-editors = 3 | editor4=Joan Verdera | title=International Congress of Mathematicians | year=2007 | publisher=European Mathematical Society | location=Zürich | volume=I | pages=335–357 | url=http://www.icm2006.org/proceedings/Vol_I/18.pdf | accessdate=2010-08-12 | mr=2334196 }}. Proceedings of the congress held in Madrid, August 22–30, 2006 *{{Citation | last1=Kolyvagin | first1=V. A. | title=The Mordell-Weil and Shafarevich-Tate groups for Weil elliptic curves | mr=984214 | year=1988 | journal=Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya | issn=0373-2436 | volume=52 | issue=6 | pages=1154–1180}} *{{Citation | last1=Kolyvagin | first1=V. A. | title=The Grothendieck Festschrift, Vol. II | publisher=Birkhäuser Boston | location=Boston, MA | series=Progr. Math. | isbn=978-0-8176-3428-5 | doi=10.1007/978-0-8176-4575-5_11 | mr=1106906 | year=1990 | volume=87 | chapter=Euler systems | pages=435–483}} *{{Citation | last1=Mazur | first1=Barry | author1-link=Barry Mazur | last2=Rubin | first2=Karl | title=Kolyvagin systems | url=https://archive.org/details/kolyvaginsystems0168_799mazu/page/ | isbn=978-0-8218-3512-8 | mr=2031496 | year=2004 | journal=Memoirs of the American Mathematical Society | issn=0065-9266 | volume=168 | issue=799 | pages=[https://archive.org/details/kolyvaginsystems0168_799mazu/page/ viii+96] | doi=10.1090/memo/0799 | doi-access=free }} * {{Citation | last1=Rubin | first1=Karl | title=Euler systems | url=https://books.google.com/books?isbn=0691050767 | publisher=[[Princeton University Press]] | series=Annals of Mathematics Studies | mr=1749177 | year=2000 | volume=147}} *{{Citation | last1=Scholl | first1=A. J. | title=Galois representations in arithmetic algebraic geometry (Durham, 1996) | url=https://books.google.com/books?isbn=9780521644198 | publisher=[[Cambridge University Press]] | series=London Math. Soc. Lecture Note Ser. | isbn=978-0-521-64419-8 | mr=1696501 | year=1998 | volume=254 | chapter=An introduction to Kato's Euler systems | pages=379–460}} *{{Citation | last1=Thaine | first1=Francisco | title=On the ideal class groups of real abelian number fields | doi=10.2307/1971460 | mr=951505 | year=1988 | journal=[[Annals of Mathematics]] |series=Second Series | issn=0003-486X | volume=128 | issue=1 | pages=1–18| jstor=1971460 | url=http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68685 | url-access=subscription }}
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