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Results tagged with field-with-one-element
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user 1784
This tag refers to the (non-existent) "field of one element".
12
votes
Applications of algebraic geometry over a field with one element
Connes et al. motivate their study of geometry over $\mathbb F_1$ in part by an idea that it may help to prove Riemann's Hypothesis. Some people, such as Mochizuki I think, hope that this study may he …
- 13.1k
11
votes
Elliptic Curves over F_1?
As was mentioned by others, currently varieties over $\mathbb F_1$ look uncomfortably like toric varieties or something very close to that. But of course there is a way to think of an elliptic curve a …
- 13.1k