Topology on rational points over n-local fields

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• 作者：Alberto Cámara
• 刊名：Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：110
• 期：2
• 页码：417-432
• 全文大小：465 KB
• 刊物类别：Mathematics and Statistics
• 出版者：Springer Milan
• ISSN：1579-1505
• 卷排序：110

文摘

We extend Weil’s construction of topologies on sets of rational points of schemes over local fields to the case of n-local fields and their rings of integers by using the sequential properties of higher topologies. In order to do this, we endow each scheme of finite type over a sequential ring with a topology in a functorial way, and study the properties of this construction. Finally, we show openness of reduction maps for schemes of finite type over rings of integers of 2-local fields.Keywordsn-local fieldsHigher local fieldsComplete discrete valuation fields