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- W3212032105 abstract "We prove an adelic descent result for localizing invariants: for each Noetherian scheme $X$ of finite Krull dimension and any localizing invariant $E$, e.g., algebraic K-theory of Bass-Thomason, there is an equivalence $E(X)simeq lim E(A^{cdot}_{text{red}}(X))$, where $A^{cdot}_{text{red}}(X)$ denotes Beilinson's semi-cosimplicial ring of reduced adeles on $X$. We deduce the equivalence from a closely related cubical descent result, which we prove by establishing certain exact sequences of perfect module categories over adele rings." @default.
- W3212032105 created "2021-11-22" @default.
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- W3212032105 date "2021-11-13" @default.
- W3212032105 modified "2023-09-22" @default.
- W3212032105 title "Adelic descent for K-theory" @default.
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