nLab regular scheme

Contents

Contents

Idea

A regular scheme (X,𝒪 X)(X,\mathcal{O}_X) is an algebraic scheme such that the stalk 𝒪 X,x\mathcal{O}_{X,x} of the structure sheaf 𝒪 X\mathcal{O}_X at any point xXx\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. See the history of this page for a list of all contributions to it.