Timeline for An analogue of the Bass-Quillen conjecture with power or Laurent series
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 10, 2022 at 20:49 | comment | added | Minseon Shin | @user26857 I wanted to specify the map $A \to R$ involved in the tensor product. | |
| Apr 10, 2022 at 9:22 | comment | added | user26857 | @MinseonShin What do you mean by $A_{,g}$? | |
| Oct 19, 2018 at 20:23 | comment | added | Minseon Shin | @KestutisCesnavicius Great, thanks for the reference. | |
| Oct 19, 2018 at 7:25 | comment | added | Kestutis Cesnavicius | Nice lemma! In fact, the power series case of the question follows from the following general result that is a special case of Thm. 5.8.14 (or of the earlier Cor. 5.4.41) from Gabber--Ramero "Almost ring theory" (take $t = 1$ there): for a Henselian pair $(A, I)$ (such as, for instance, $(R[[x_1, \dotsc, x_n]], (x_1, \dotsc, x_n)R[[x_1, \dotsc, x_n]])$), base change induces a bijection between the set of isomorphism classes of vector bundles on $\mathrm{Spec}(A)$ to that of vector bundles on $\mathrm{Spec}(A/I)$. | |
| S Oct 19, 2018 at 5:52 | history | answered | Minseon Shin | CC BY-SA 4.0 | |
| S Oct 19, 2018 at 5:52 | history | made wiki | Post Made Community Wiki by Minseon Shin |