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In algebraic geometry and commutative algebra, the theorems of generic flatness and generic freeness state that under certain hypotheses, a sheaf of modules on a scheme is flat or free. They are due to Alexander Grothendieck.
Generic freeness & Overview
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generic scheme freeness flatness integral flat noetherian finite type coherent free locally morphism ox-module open subset restriction de algebraic geometry
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Generic flatness | related to Generic freeness | Generic | 0.60 | section |
| Generic flatness | related to Generic freeness | A-algebra | 0.60 | section |
| Generic flatness | related to Generic freeness | B-module | 0.60 | section |
| Generic flatness | related to Generic freeness | Mf | 0.60 | section |
| Generic flatness | related to Generic freeness | Af-module | 0.60 | section |
| Generic flatness | related to Generic freeness | If | 0.60 | section |
| Generic flatness | related to Generic freeness | Grothendieck's | 0.60 | section |
| Generic flatness | related to Generic freeness | Another | 0.60 | section |
| Generic flatness | related to Generic freeness | Noether's | 0.60 | section |
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