#
nLab
regular scheme

Contents
# Contents

## Idea

A regular scheme $(X,\mathcal{O}_X)$ is an algebraic scheme such that the stalk $\mathcal{O}_{X,x}$ of the structure sheaf $\mathcal{O}_X$ at any point $x\in X$ (as a locally ringed space) is a regular local ring.

## References

On pro-algebraic resolutions of regular schemes over algebraically complete fields:

- Adrian Clough,
*Pro-algebraic Resolutions of Regular Schemes*, MSc thesis, ETC Zürich (2014) [pdf]

Last revised on August 9, 2022 at 12:31:10.
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