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Different ways to construct the isogeny category of abelian varieties

Morally, the isogeny category should be some kind of localization at isogenies. … The category of finite group schemes is a Serre subcategory, so one can form the Serre localization. We can restrict the localization functor to $\mathbf{AV}_{/k}$ and consider the essential image. …
Lukas Heger's user avatar