Timeline for Which valuations of a field yield codimension $1$ subschemes of their 'models'
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Aug 9, 2014 at 13:10 | vote | accept | Mikhail Bondarko | ||
| Jul 29, 2014 at 16:30 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Jul 29, 2014 at 9:47 | answer | added | Cantlog | timeline score: 4 | |
| Jul 26, 2014 at 6:35 | comment | added | Mikhail Bondarko | This is probably true. Yet do you now any references for this (where some terms are introduced)? | |
| Jul 25, 2014 at 21:31 | comment | added | Will Sawin | I believe one wants to consider models of $F$ of finite type only. Then one needs $A$ to be a localization of a finitely generated subring of itself - this is clearly a necessary and sufficient condition. I don't know a better one. | |
| Jul 25, 2014 at 20:01 | comment | added | Mikhail Bondarko | Possibly I am getting something wrong; yet in the 'geometrical' case there are 'bad' valuations; see mathoverflow.net/questions/135544/… | |
| Jul 25, 2014 at 15:53 | comment | added | Daniel Loughran | Perhaps I am misunderstanding your question, but don't all discrete valuations on $F$ arise this way? Namely, given a discrete valuation $v$ on $F$, one can consider the associated discrete valuation ring $A \subset F$. Then $\mbox{Spec } A$ is a model for $F$, whose point of codimension $1$ gives rise to the required discrete valuation $v$. | |
| Jul 25, 2014 at 15:48 | comment | added | abx | Any closed irreducible subvariety gives rise to a discrete valuation, because you can blow it up and get a divisor. | |
| Jul 25, 2014 at 13:07 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |