Timeline for Graded analogues of theorems in commutative algebra
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 2, 2021 at 7:17 | history | edited | Stefan Kohl♦ |
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| Oct 2, 2021 at 7:17 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| S Jan 9, 2020 at 15:29 | history | edited | Lennart Meier | CC BY-SA 4.0 |
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| S Jan 9, 2020 at 15:29 | history | suggested | user26857 | CC BY-SA 4.0 |
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| Jan 9, 2020 at 14:53 | review | Suggested edits | |||
| S Jan 9, 2020 at 15:29 | |||||
| Jan 14, 2019 at 7:16 | comment | added | Lennart Meier | Call a graded module over a graded ring $R$ graded flat if its tensor product with every exact sequence of graded modules is graded again. I claim that a module is graded flat if and only if its flat. Indeed, the category of graded modules is monoidally equivalent to quasi-coherent sheaves on $[Spec R/\mathbb{G}_m]$. As $Spec R \to [Spec R/\mathbb{G}_m]$ is fpqc, exactness of a sequence can be tested on $Spec R$, which implies the result. Thus every theorem about flat modules also applies to graded flat modules. | |
| Jan 13, 2019 at 4:14 | comment | added | Avi Steiner | Do you have a reference for how to argue geometrically using stacks as you allude to? | |
| Jan 8, 2019 at 2:44 | answer | added | Konstantinos Kanakoglou | timeline score: 2 | |
| Jan 7, 2019 at 14:37 | answer | added | P. Grape | timeline score: 5 | |
| Jan 7, 2019 at 12:24 | answer | added | Fred Rohrer | timeline score: 5 | |
| Jan 7, 2019 at 8:31 | history | asked | Lennart Meier | CC BY-SA 4.0 |