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...
Guardado en:
| Autores principales: | , , , |
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| Formato: | Article (Journal) |
| Lenguaje: | inglés |
| Publicado: |
May 8, 2026
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| In: |
Transactions of the American Mathematical Society
Year: 2026, Volumen: 379, Número: 8, Pages: 1-24 |
| ISSN: | 1088-6850 |
| Acceso en línea: |
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| Notas de Autor: | Federico Binda, Tommy Lundemo, Alberto Merici, and Doosung Park |
| Sumario: | 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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| Notas: | Gesehen am 22.07.2026 |
| Descripción Física: | Online Resource |
| ISSN: | 1088-6850 |