Answer by Oliver for Durov approach to Arakelov geometry and $\mathbb{F}_1$
Regarding,Did anyone find applications outside the theory itself?The approaches of Durov (and a number of similar methods) are guided by getting an elegant philosophy, or getting some philosophies...
View ArticleAnswer by Riccardo Pengo for Durov approach to Arakelov geometry and...
Let me just give a quick list of references and some brief comments:for a survey of the various approaches to $\mathbb{F}_1$ see the excellent paper "$\mathbb{F}_1$ for everyone" by Lorscheid...
View ArticleDurov approach to Arakelov geometry and $\mathbb{F}_1$
Durov's thesis on algebraic geometry over generalized rings looks extremely intriguing: it promises to unify scheme based and Arakelov geometry, even in singular cases, as well as including geometry...
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