Thomason filtration via $T(1)$-local $\mathrm{TC}$
| Autor: | Kim, Hyungseop |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct a natural filtration on $T(1)$-local $\mathrm{TC}$ for each derived schemes satisfying certain finiteness conditions using prismatic cohomology and descent theory. In the course of the construction, we also study some general properties of prismatic cohomology complexes over perfect prisms after inverting distinguished generators. The construction is intrinsic to $\mathrm{TC}$ and recovers Thomason's spectral sequence for $T(1)$-local algebraic K-theory via the trace map. Comment: 20 pages, comments welcome |
| Databáze: | arXiv |
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