Greenberg, Ralph On the structure of Selmer groups. (English) Zbl 1414.11140 Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer. Springer Proc. Math. Stat. 188, 225-252 (2016). Summary: Our objective in this paper is to prove a rather broad generalization of some classical theorems in Iwasawa theory.For the entire collection see [Zbl 1364.11005]. Cited in 14 Documents MSC: 11R23 Iwasawa theory 11R34 Galois cohomology Keywords:Selmer groups × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bruns, W., Herzog, J.: Cohen–Macaulay Rings, Cambridge Studies in Advanced Math, vol. 39. Cambridge University Press (1998) · Zbl 0909.13005 · doi:10.1017/CBO9780511608681 [2] Cohen, I.S.: On the structure and ideal theory of complete local rings. Trans. Am. Math. Soc. 59, 54–106 (1946) · Zbl 0060.07001 · doi:10.1090/S0002-9947-1946-0016094-3 [3] Greenberg, R.: Iwasawa theory for \[ p \] -adic representations. Adv. Stud. Pure Math. 17, 97–137 (1989) · Zbl 0739.11045 [4] Greenberg, R.: Iwasawa theory and \[ p \] -adic deformations of motives. Proc. Symp. Pure Math. 55(II), 193–223 (1994) · Zbl 0819.11046 [5] Greenberg, R.: Iwasawa theory for elliptic curves. Lect. Notes Math. 1716, 51–144 (1999) · Zbl 0946.11027 · doi:10.1007/BFb0093453 [6] Greenberg, R.: On the structure of certain Galois cohomology groups, Documenta Math. Extra Volume Coates, 357–413 (2006) [7] Greenberg, R.: Surjectivity of the global-to-local map defining a Selmer group. Kyoto J. Math. 50, 853–888 (2011) · Zbl 1230.11133 · doi:10.1215/0023608X-2010-016 [8] Greenberg, R.: Iwasawa theory for \[ {Z}^m_p \] -extensions, in preparation [9] Greenberg, R.: Iwasawa theory–past and present. Adv. Stud. Pure Math. 30, 335–385 (2001) · Zbl 0998.11054 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.