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In algebraic geometry, an affine variety or affine algebraic variety is a certain kind of algebraic variety that can be described as a subset of an affine space.
Generalizations, Examples & Affine algebraic groups
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affine displaystyle algebraic variety coordinate ring set field points varieties ideal sets defined point regular closed space polynomial mathrm radical
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Affine variety | is a | affine algebraic set which is not the union of two smaller algebraic sets | 0.90 | text |
| Affine variety | is a | locally ringed space.Given an affine variety X with coordinate ring A | 0.90 | text |
| projective varieties are obtained by gluing affine varieties | instance of | general algebraic varieties | 0.80 | text |
| Affine variety | related to Affine algebraic groups | An | 0.60 | section |
| Affine variety | related to Examples | The | 0.60 | section |
| Affine variety | related to Examples | Its | 0.60 | section |
| Affine variety | related to Examples | For | 0.60 | section |
| Affine variety | related to Examples | In | 0.60 | section |
| Affine variety | related to Examples | Algebraic | 0.60 | section |
| Affine variety | related to Examples | Examples | 0.60 | section |
| Affine variety | related to Examples | On | 0.60 | section |
| Affine variety | related to Examples | Hartogs | 0.60 | section |
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