Logarithmic TC via the infinite root stack and the Beilinson fiber square
We apply our previous results on "saturated descent" to express a wide range of logarithmic cohomology theories in terms of the infinite root stack. Examples include the log cotangent complex, Rognes' log topological cyclic homology, and Nygaard-complete log prismatic cohomology. As a...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
May 8, 2026
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| In: |
Transactions of the American Mathematical Society
Year: 2026, Volume: 379, Issue: 8, Pages: 1-24 |
| ISSN: | 1088-6850 |
| Online Access: |
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| Author Notes: | Federico Binda, Tommy Lundemo, Alberto Merici, and Doosung Park |
| Summary: | We apply our previous results on "saturated descent" to express a wide range of logarithmic cohomology theories in terms of the infinite root stack. Examples include the log cotangent complex, Rognes' log topological cyclic homology, and Nygaard-complete log prismatic cohomology. As applications, we show that the Nygaard-completion of the site-theoretic log prismatic cohomology coincides with the definition arising from log TC, and we establish a log version of the TC-variant of the Beilinson fiber square of Antieau-Mathew-Morrow-Nikolaus. |
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| Item Description: | Gesehen am 22.07.2026 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6850 |