Publication

Ind-étale versus formally étale

Alapan Mukhopadhyay
2025

Abstract

We show that when A $A$ is a reduced algebra over a characteristic zero field k $k$ and the module of K & auml;hler differentials Omega A/k=0 $\Omega _{A/k}=0$ , then A $A$ is ind-& eacute;tale, partially answering a question of Bhatt. As further applications of this result, we deduce a rigidity property of Hochschild homology and special instances of Weibel's conjecture and Vorst's conjecture without any noetherian assumptions.

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Alapan Mukhopadhyay
2025

Abstract

Official source

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Ind-étale versus formally étale

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