“The six-functor formalism for rigid analytic motives” - Erratum

From the text: Lemma 2.1.4 in our article [ibid. 10, Paper No. e61, 182 p. (2022; Zbl 1505.14051)] is incorrect as we will demonstrate in the example below. The purpose of this erratum is to explain what additional assumptions have to be added in order to obtain the same conclusion. These additional assumptions are satisfied in each instance of the article where Lemma 2.1.4 was invoked. Hence the rest of the article remains unaffected. We now state and prove a corrected version of Lemma 2.1.4. Similar results can be found in [Reference Hoyois4, Lemma C.3] and [Reference Porta and Yu6, Proposition 2.22].

Publication Details

Journal
Zurich Open Repository and Archive (University of Zurich)
Published
2025-02-03
DOI
https://doi.org/10.5167/uzh-276257
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

“The six-functor formalism for rigid analytic motives” - Erratum

Zurich Open Repository and Archive (University of Zurich)
Homotopy and Cohomology in Algebraic Topology
article

“The six-functor formalism for rigid analytic motives” - Erratum

article en

Abstract

From the text: Lemma 2.1.4 in our article [ibid. 10, Paper No. e61, 182 p. (2022; Zbl 1505.14051)] is incorrect as we will demonstrate in the example below. The purpose of this erratum is to explain what additional assumptions have to be added in order to obtain the same conclusion. These additional assumptions are satisfied in each instance of the article where Lemma 2.1.4 was invoked. Hence the rest of the article remains unaffected. We now state and prove a corrected version of Lemma 2.1.4. Similar results can be found in [Reference Hoyois4, Lemma C.3] and [Reference Porta and Yu6, Proposition 2.22].

Zurich Open Repository and Archive (University of Zurich)
Openalex Percentile: Top 54%
Homotopy and Cohomology in Algebraic Topology
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“The six-functor formalism for rigid analytic motives” - Erratum · Zurich Open Repository and Archive (University of Zurich) (2025) | TGRS Research Map | TGRS