Timeline for Is the subspace of DVR's of the Zariski-Riemann space still quasi-compact?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2011 at 17:01 | vote | accept | name | ||
| Sep 27, 2011 at 18:52 | answer | added | Jizhan Hong | timeline score: 1 | |
| Sep 26, 2011 at 17:42 | comment | added | name | Hi, thanks for your comment! As is often the case, I forgot one of my hypotheses: $K$ is finitely generated as a field over $k$. Also, as an aside, I was using Samuel-Zariski's definition of discrete page 48-49. | |
| Sep 25, 2011 at 15:53 | comment | added | Jizhan Hong | Your definition of 'discrete valuation' is not the usual definition. Usually if one says 'DVR', then one means a valuation with its value group isomorphic to $\mathbb{Z}$. If one says 'discrete valuation' in the general sense, then one means the value group is discrete as an ordered group, i.e. every element has a predecessor and a successor; in this case the value group could also be $\mathbb{Z}\times\mathbb{Q}\times\cdots$. That being said, S′ could be empty if all the valuations are with divisible value groups, as in the case of separably/real/radically closed fields. | |
| Sep 18, 2011 at 9:35 | history | edited | name | CC BY-SA 3.0 |
added 25 characters in body
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| Sep 18, 2011 at 7:06 | history | asked | name | CC BY-SA 3.0 |