PreprintCC BY 4.0HAL
A note on the dagger condition of Kerz–Saito–Tamme
Abstract
In this short note, we study the condition (†)A that appeared in the work of Kerz–Saito–Tamme \cite{kerzsaitotamme2019Kani}. We propose a variant in the non-Noetherian setting, which concerns specifically rigid-analytic varieties over a (not necessarily discretely valued) nonarchimedean field k. We explain that most arguments of Kerz–Saito–Tamme go through verbatim, conditionally on a pro-vanishing result.
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BibTeX
@misc{zhou2026note,
title = {{A note on the dagger condition of Kerz–Saito–Tamme}},
author = {Yicheng Zhou},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05820422v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A note on the dagger condition of Kerz–Saito–Tamme
AU - Yicheng Zhou
PY - 2026
DA - 2026/10/19
PB - HAL
UR - https://hal.science/hal-05820422v1
AB - In this short note, we study the condition (†)_A that appeared in the work of Kerz–Saito–Tamme \cite{kerzsaitotamme2019Kani}. We propose a variant in the non-Noetherian setting, which concerns specifically rigid-analytic varieties over a (not necessarily discretely valued) nonarchimedean field k. We explain that most arguments of Kerz–Saito–Tamme go through verbatim, conditionally on a pro-vanishing result.
ER -