K3 et formules de Riemann-Hurwitzp-adiques |
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Authors: | Nguyen Quang Do Thong |
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Institution: | (1) UA 741 CNRS Laboratoire de Mathématiques, Fuculté des Sciences de Besançon, F25030 Besançon Cedex, France |
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Abstract: | The well-known formula of Riemann-Hurwitz gives the change of genuses in ann-fold covering of compact connected Riemann surfaces. In Iwasawa theory, there existp-adic analogues which give the change of certain ±-invariants in ap-extension ofCM number fields. Using functorial and arithmetical properties ofK
3, we extend such Riemann-Hurwitzp-adic formulas to non-CM fields, assuming some restrictive hypotheses on the capitulation ofK
2. |
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Keywords: | K
2 K
3 " target="_blank">gif" alt="lambda" align="BASELINE" BORDER="0"> capitulation |
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