English

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

Algebraic Geometry 2025-08-19 v1 Algebraic Topology

Abstract

We introduce the notion of E\mathbb{E}_\infty-descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are E\mathbb{E}_\infty-descendable. As an application, we prove a variant of Tannaka duality.

Keywords

Cite

@article{arxiv.2508.13089,
  title  = {Report on $\mathbb{E}_\infty$-descendability},
  author = {Benjamin Antieau and Germán Stefanich},
  journal= {arXiv preprint arXiv:2508.13089},
  year   = {2025}
}

Comments

comments welcome

R2 v1 2026-07-01T04:55:10.104Z