Timeline for Action on group $\operatorname{Ext}^i(\mathcal{L}, \mathcal{M})$ by scalar multiplication
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 23, 2020 at 1:22 | answer | added | user267839 | timeline score: 1 | |
| May 19, 2020 at 9:10 | vote | accept | user267839 | ||
| May 18, 2020 at 15:33 | review | Close votes | |||
| May 19, 2020 at 19:50 | |||||
| May 18, 2020 at 15:29 | comment | added | user267839 | @abx: Please, read the question a bit more carefully. I understand that $\operatorname{Ext}^i(\mathscr{L},\mathscr{M})$ abstractly inherits from $H^i(X, \mathcal{M}\otimes \mathcal{L}^{\vee})$ the $k$-vector space structure. Well, abstractly that's of course clear. The point is that I want see what explicitly happens with a representing element of extension class when the inherited $k$-action acts on it. ie how it "deforms" from the initial representing element. That is, "what happens inside", not "if something happens in well defined way" | |
| May 18, 2020 at 15:28 | answer | added | Sasha | timeline score: 5 | |
| May 18, 2020 at 15:20 | comment | added | abx | The category of $\mathscr{O}_X$-modules is a $k$-linear abelian category, so $\operatorname{Ext}^i(\mathscr{L},\mathscr{M}) $ is a $k$-vector space by definition. Your questions would be a better fit at MSE. | |
| May 18, 2020 at 15:11 | history | edited | YCor | CC BY-SA 4.0 |
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| May 18, 2020 at 15:07 | history | asked | user267839 | CC BY-SA 4.0 |