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arXiv · 2009.10176

Deformations of $\mathbb{E}_{\infty}$-groups of units and logarithmic derivatives of $\mathbb{E}_{\infty}$-rings

Stefano Ariotta
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Abstract

We extend a classical fact about deformations of groups of units of commutative rings to $\mathbb{E}_{\infty}$-ring spectra, and we use this result to provide a map of spectra generalizing the ordinary logarithmic derivative induced by an $R$-module derivation.

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Stefano Ariotta. 2020-09-21. Deformations of $\mathbb{E}_{\infty}$-groups of units and logarithmic derivatives of $\mathbb{E}_{\infty}$-rings. https://arxiv.org/abs/2009.10176

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