A Herbrand-Ribet theorem for function fields
| Autor: | Taelman, Lenny |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00222-011-0346-3 |
| Popis: | We prove a function field analogue of the Herbrand-Ribet theorem on cyclotomic number fields. The Herbrand-Ribet theorem can be interpreted as a result about cohomology with $\mu_p$-coefficients over the splitting field of $\mu_p$, and in our analogue both occurrences of $\mu_p$ are replaced with the $\mathfrak{p}$-torsion scheme of the Carlitz module for a prime $\mathfrak{p}$ in $\F_q[t]$. Comment: to appear in Inventiones Mathematicae |
| Databáze: | arXiv |
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