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Published on 2025-02-03 / 33 Visits
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P进数

John Baez提供了关于P进数很好的入门教学,可以通过本链接查阅。

A "Rosetta Stone"

Geometry Function Fields Number Theory
"Riemann sphere" ​ \mathbb{C}(X) ​ \mathbb{Q}
complex plane ​ \mathbb{C}[X] ​ \mathbb{Z}
point​ \alpha \in \mathbb{C} irreducible​ X - \alpha prime​ p
Riemann surface finite extension​ K/\mathbb{C}(X) finite extension​ K/\mathbb{Q}
"local" behavior Laurent series around​ \alpha ​ !?

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