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

Year: 2025
Type: erratum
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].
Authors: Ayoub, Joseph, Gallauer Alves de Souza, Martin, Vezzani, Alberto
Language: English
Open Access status: green
OpenAlex ID: W6892356632
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