Year: 2025
Type: article
Abstract: It is an important foundational result in algebraic geometry that the 2 2 -category of quasi-coherent modules fibered over the category of commutative rings satisfies descent with respect to the fqpc topology. More recently, Akhil Mathew and Jacob Lurie introduced an ∞ \infty -categorical version of this result for module spectra using the notion of descendable E ∞ \mathbb {E}_{\infty } -ring maps . In this paper, we will construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.
DOI: 10.1090/proc/17469
Author: Ivan Zelich
Institution: Columbia University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417167560