On the prime spectrum of the $p$-adic integer polynomial ring with a depiction
| Autor: | Serratos, Juan |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In 1966, David Mumford created a drawing of $\operatorname{Proj} \mathbb Z [X,Y]$ in his book, "Lectures on Curves on an Algebraic Surface". In following, he created a photo of a so-called 'arithmetic surface' $\operatorname{Spec} \mathbb Z [T]$for his 1988 book, "The Red Book of Varieties and Schemes". The depiction presents the structure of $\operatorname{Spec} \mathbb Z [T]$ as being interesting and pleasant and is a well-known picture in algebraic geometry. Taking inspiration from Mumford, we create a drawing similar to $\operatorname{Spec} \mathbb Z_p [T]$, which has a lot of similarities with $\operatorname{Spec} \mathbb Z [T]$. Comment: 8 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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