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Fixed points via tilting
Abstract
In this article we initiate the study of perfect commutative 𝔽p-algebras in the non-connective setting. As an application we show that given a finite Cp-space X the 𝔽p-cochains on XCp can be recovered as a base-change of the tilt of the Tate construction on cochains on Xe.
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BibTeX
@misc{burklund2026fixed,
title = {{Fixed points via tilting}},
author = {Robert Burklund and Vignesh Subramanian},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01985},
eprint = {2611.01985},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01985},
}
RIS
TY - UNPB
TI - Fixed points via tilting
AU - Robert Burklund
AU - Vignesh Subramanian
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01985
UR - https://arxiv.org/abs/2611.01985
AB - In this article we initiate the study of perfect commutative 𝔽_p-algebras in the non-connective setting. As an application we show that given a finite C_p-space X the 𝔽_p-cochains on X^C_p can be recovered as a base-change of the tilt of the Tate construction on cochains on X^e.
ER -