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Group cohomology of universal ordinary distribution | | Yi Ouyang
; | | Date: |
5 Nov 1999 | | Journal: | J. reine. angew. Math. 537(2001), 1-32 | | Subject: | Number Theory; Algebraic Topology MSC-class: 11R34; 11RR18; 18G40 | math.NT math.AT | | Abstract: | For any odd squarefree integer r, we get complete description of the G_r=Gal(Q(mu_r)/Q) group cohomology of the universal ordinary distribution U_r in this paper. Moreover, if M is a fixed integer which divides l-1 for all prime factors l of r, we study the cohomology group H^{*}(G_r, U_r/MU_r). In particular, we explain the mysterious construction of the elements kappa_{r’} for r’|r in Rubin’s construction of Kolyvagin elements, which come exactly from a certain Z/M Z-basis of the cohomology group H^{0}(G_r, U_r/MU_r) through an evaluation map. | | Source: | arXiv, math.NT/9911032 | | Services: | Forum | Review | PDF | Favorites | |
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