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Carlo Beenakker
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What is wrong withthe status of N. DurovDurov's PhD thesis?

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What is wrong with N. Durov PhD thesis?

N. Durov Phd thesis "New Approach to Arakelov Geometry" is ofted mentioned as a beautiful approach to Arakelov geometry and it includes also a treatment of $\mathbb F_1$. It is a very long and technical text (>500 pages) and I read just the introduction.

Why I cannot find any follow up of this (unpublished) work? Is there any mistakes I am not aware of? Is there a lack of applications? Or maybe simply very few people were able to understand it...

It surprises me that this thesis is often mentioned in a positive manner but at the same time almost forgotten