Report on $\mathbb{E}_\infty$-descendability

Fuente: arXiv
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Hauptverfasser: Antieau, Benjamin, Stefanich, Germán
Format: Preprint
Veröffentlicht: 2025
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author Antieau, Benjamin
Stefanich, Germán
author_facet Antieau, Benjamin
Stefanich, Germán
contents We introduce the notion of $\mathbb{E}_\infty$-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\infty$-descendable. As an application, we prove a variant of Tannaka duality.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13089
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Report on $\mathbb{E}_\infty$-descendability
Antieau, Benjamin
Stefanich, Germán
Algebraic Geometry
Algebraic Topology
We introduce the notion of $\mathbb{E}_\infty$-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\infty$-descendable. As an application, we prove a variant of Tannaka duality.
title Report on $\mathbb{E}_\infty$-descendability
topic Algebraic Geometry
Algebraic Topology
url https://arxiv.org/abs/2508.13089