Timeline for Is $(x^2y,xy^2)$ log smooth?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 20, 2022 at 15:43 | vote | accept | John Pardon | ||
| Jan 20, 2022 at 15:43 | answer | added | John Pardon | timeline score: 0 | |
| Jan 4, 2022 at 20:27 | answer | added | Avi Steiner | timeline score: 3 | |
| Dec 19, 2021 at 19:22 | comment | added | Donu Arapura | Well Kato, in his foundational paper "Logarithmic structures of Fontaine-Illusie" gives a criterion (Cor. 4.5): a [log] smooth integral morphism is flat. Presumably integrality (whose definition can be found there) fails. | |
| Dec 19, 2021 at 16:08 | comment | added | John Pardon | Interesting. If that turns out to be the case, I would be interested to know if there are known properties (of independent significance) which are satisfied by maps like $(x,y)\mapsto xy$ but not $(x,y)\mapsto(x^2y,xy^2)$ or $(x,y,z)\mapsto(xy,xz)$. | |
| Dec 19, 2021 at 15:28 | comment | added | Donu Arapura | I'm not an expert on log geometry, so you may want to wait for an actual expert to weight in. I thought flatness wasn't necessarily implied by log smoothness. At least that would resolve your apparent contradiction. | |
| S Dec 19, 2021 at 14:58 | history | suggested | MSMalekan | CC BY-SA 4.0 |
Rewrite a formula in math environment.
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| Dec 19, 2021 at 14:57 | review | Suggested edits | |||
| S Dec 19, 2021 at 14:58 | |||||
| Dec 19, 2021 at 14:33 | history | asked | John Pardon | CC BY-SA 4.0 |