Deformations of $\mathbb{E}_{\infty}$-groups of units and logarithmic derivatives of $\mathbb{E}_{\infty}$-rings
Algebraic Topology
2020-09-23 v1
Abstract
We extend a classical fact about deformations of groups of units of commutative rings to -ring spectra, and we use this result to provide a map of spectra generalizing the ordinary logarithmic derivative induced by an -module derivation.
Cite
@article{arxiv.2009.10176,
title = {Deformations of $\mathbb{E}_{\infty}$-groups of units and logarithmic derivatives of $\mathbb{E}_{\infty}$-rings},
author = {Stefano Ariotta},
journal= {arXiv preprint arXiv:2009.10176},
year = {2020}
}