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Feb 1, 2010 at 4:33 comment added Jon Yard Thanks to pointing me to Neukirch for the Arakelov theory. I knew (loosely) about the analog between number and function fields, but didn't know where to look to find out more. This was actually part of the motivation for my question; since places are the points of a topological space, it seems they should be treated on the same footing as much as possible.
Jan 28, 2010 at 12:35 history answered Cam McLeman CC BY-SA 2.5