Timeline for Behaviour of densities of places of finitely generated fields under specialisation
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 22, 2016 at 9:48 | history | edited | user98708 | CC BY-SA 3.0 |
fix wrong notation
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| Sep 22, 2016 at 9:47 | comment | added | user98708 | @DanielLoughran — Sorry, of course. I was typing too fast. I'll fix it. | |
| Sep 22, 2016 at 9:45 | comment | added | Daniel Loughran | I found your question a bit confusing at first read. What you have called the "degree" $\mathrm{deg}(x)$ of a closed point is usually called the "norm" $\mathrm{N}(x)$ (Serre follows this convention in his books). The degree $\mathrm{deg}(x)$ is normally instead defined to be the degree of the residue field of $x$ over its prime subfield (again, this is the convention from Serre's books). If the prime subfield is the finite field $\mathbb{F}_p$, then we have the relation $\mathrm{N}(x) = p^{\mathrm{deg}(x)}$. | |
| Sep 22, 2016 at 8:40 | history | asked | user98708 | CC BY-SA 3.0 |