Algebraic geometry Schemes Concept
Regular scheme
Summary
A regular scheme is a locally Noetherian scheme whose local rings are all regular local rings. It is the algebraic notion of a space without singularities that works over any base, including . Over a perfect field, a scheme of finite type is regular exactly when it is smooth.
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About this page
| Tag | ESPG0BJERZ |
|---|---|
| URI | m2://ESPG0BJERZ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 14A15, 13H05 |
| Specializes | Normal scheme |
| Same as | |
| Changed | 2 November 2026 |
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