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In algebraic geometry, a morphism f : X → S {\displaystyle f:X\to S} between schemes is said to be smooth if
Examples, Equivalent definitions & Overview
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smooth displaystyle morphism variety family flat locally finite field formally point singular étale mathbb called nonsingular base fiber operatorname given
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Smooth morphism | related to Equivalent definitions | There | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | Let | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | Then | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | Omega | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | X/S | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | For | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | Spec | 0.60 | section |
| Smooth morphism | related to Equivalent definitions | Locally | 0.60 | section |
| Smooth morphism | related to Examples | Smooth | 0.60 | section |
| Smooth morphism | related to Examples | Ehresmann's | 0.60 | section |
| Smooth morphism | related to Smooth base change | Let | 0.60 | section |
| Smooth morphism | related to Smooth base change | Spec | 0.60 | section |
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