Timeline for n-dimensional local fields
Current License: CC BY-SA 3.0
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Feb 6, 2015 at 14:08 | comment | added | Jack Yoon | Try this for the first question. Given an $n$ dimensional scheme of finite type or dimension $n$ noetherian local ring, you can construct an $n$ dimensional local field as explained in chapter $6$ of arxiv.org/pdf/1204.0586.pdf. Notion of $n$ dimensional global field exist ($\mathbb{Q}(t)$ is an example as far as I am aware) but I am not an expert enough to comment much more. | |
Jan 10, 2014 at 10:43 | comment | added | Torsten Schoeneberg | When a question on higher local fields is raised, this book should be mentioned: msp.org/gtm/2000/03 | |
Jan 10, 2014 at 7:48 | history | asked | Fujita Tomomi | CC BY-SA 3.0 |