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- W1736173225 abstract "The Yoneda embedding establishes an equivalence between schemes and schemes relative to abelian groups (in the sense of Toen and Vaqui'e). Similarly, it establishes an equivalence between monoidal schemes (or $mathbb{F}_1$-schemes in the sense of Deitmar) and schemes relative to sets. In this text, we show that these equivalences extend to an equivalence of a certain subcategory of blue schemes with a certain subcategory of schemes relative to blue $Fun$-modules. This includes, next to usual schemes and monoidal schemes, all blue schemes of finite type over $mathbb{F}_1$. Due to different Grothendieck topologies, however, the Yoneda embedding does not extend to an equivalence between blue schemes with schemes relative to blue $mathbb{F}_1$-modules." @default.
- W1736173225 created "2016-06-24" @default.
- W1736173225 creator A5042964790 @default.
- W1736173225 date "2012-12-13" @default.
- W1736173225 modified "2023-09-27" @default.
- W1736173225 title "Blue schemes as relative schemes after Toen and Vaqui'e" @default.
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