Wild and even points in global function fields
| Autor: | Czogała, A., Koprowski, P., Rothkegel, B. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4064/cm6979-1-2018 |
| Popis: | We develop a criterion for a point of global function field to be a unique wild point of some self-equivalence of this field. We show that this happens if and only if the class of the point in the Picard group of the field is $2$-divisible. Moreover, given a finite set of points, whose classes are $2$-divisible in the Picard group, we show that there is always a self-equivalence of the field for which this is precisely the set of wild points. Unfortunately, for more than one point this condition is no longer a necessary one. Comment: Updated version coherent in with the published one |
| Databáze: | arXiv |
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