Timeline for Different ways to construct the isogeny category of abelian varieties
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| Mar 2, 2022 at 11:35 | comment | added | Piotr Achinger | For the second, I think the Serre localization is the categorical localization with respect to the maps whose kernel and cokernel is in the given Serre subcategory. Moreover, these maps form a multiplicative system, and it should follow formally (again using calculus of fractions) that your construction gives the same isogeny category. | |
| Mar 2, 2022 at 11:31 | comment | added | Piotr Achinger | For the first question check out calculus of fractions and the remark here: stacks.math.columbia.edu/tag/05Q0 | |
| Mar 2, 2022 at 11:27 | history | asked | Lukas Heger | CC BY-SA 4.0 |