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Titlebook: Elliptic Curves, Modular Forms and Iwasawa Theory; In Honour of John H. David Loeffler,Sarah Livia Zerbes Conference proceedings 2016 Sprin

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书目名称Elliptic Curves, Modular Forms and Iwasawa Theory
副标题In Honour of John H.
编辑David Loeffler,Sarah Livia Zerbes
视频video
概述Includes supplementary material:
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Elliptic Curves, Modular Forms and Iwasawa Theory; In Honour of John H. David Loeffler,Sarah Livia Zerbes Conference proceedings 2016 Sprin
描述.Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference .Elliptic Curves, Modular Forms and Iwasawa Theory., held in honour of the 70.th . birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create. . .This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields. .
出版日期Conference proceedings 2016
关键词11R23, 11F11, 11F67; Iwasawa Theory; Elliptic Curves; Modular Forms; Number Theory; John Coates
版次1
doihttps://doi.org/10.1007/978-3-319-45032-2
isbn_softcover978-3-319-83192-3
isbn_ebook978-3-319-45032-2Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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https://doi.org/10.1007/978-3-642-72302-5 étale cohomology. This connects them to Iwasawa theory and generalizes and strengthens the results for elliptic curves obtained in our former work. In particular, degeneration questions can be treated easily.
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Partielle Differentialgleichungen,-torsion points on .. We determine all cases when the Galois cohomology group . does not vanish, and investigate the analogous question for . when .. We include an application to the verification of certain cases of the Birch and Swinnerton-Dyer conjecture, and another application to the Grunwald–Wa
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,Funktionen einer Veränderlichen, terms of the .-operator acting on the attached etale .-module .(.). In this chapter we generalize Fontaine’s result to the case of arbitrary Lubin–Tate towers . over finite extensions . of . by using the Kisin–Ren/Fontaine equivalence of categories between Galois representations and .-modules and e
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https://doi.org/10.1007/978-3-662-28432-2olute Galois group of a number field for which the residual representation . comes from a modular form then so does .. This theorem has numerous hypotheses; a crucial one is that the image of . must be “big,” a technical condition on subgroups of .. In this paper we investigate this condition in com
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Metrische und Topologische Fragen,algebra and the “big” Hecke algebra. We prove a control theorem of the ordinary part of the .-MW groups under mild assumptions. We have proven a similar control theorem for the dual completed inductive limit in [.].
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