Group cohomology of universal ordinary distribution
| dc.creator | Ouyang, Yi | |
| dc.date | 1999-11-05 | |
| dc.date.accessioned | 2026-07-07T05:31:27Z | |
| dc.date.available | 2026-07-07T05:31:27Z | |
| dc.description | 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. | |
| dc.description | 30 pages, 1 figure, 1 appendix by Prof. Greg Anderson | |
| dc.identifier | https://arxiv.org/abs/math/9911032 | |
| dc.identifier | http://arxiv.org/abs/math/9911032 | |
| dc.identifier | J. reine. angew. Math. 537(2001), 1-32 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79349 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 11R34; 11RR18; 18G40 | |
| dc.title | Group cohomology of universal ordinary distribution | |
| dc.type | text |