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In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of parameters of the family.
Standards, Definitions & Linear systems in birational geometry
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displaystyle linear system divisors mathcal algebraic base locus variety curves divisor projective mathbb bundle geometry systems map line space complete
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Linear system of divisors | is a | algebraic generalization of the geometric notion of a family of curves | 0.90 | text |
| Linear system of divisors | related to Base locus | The | 0.60 | section |
| Linear system of divisors | related to Base locus | Geometrically | 0.60 | section |
| Linear system of divisors | related to Base locus | Linear | 0.60 | section |
| Linear system of divisors | related to Base locus | More | 0.60 | section |
| Linear system of divisors | related to Base locus | Consider | 0.60 | section |
| Linear system of divisors | related to Example | Consider | 0.60 | section |
| Linear system of divisors | related to Example | Lefschetz | 0.60 | section |
| Linear system of divisors | related to Example | Gamma | 0.60 | section |
| Linear system of divisors | related to Example | This | 0.60 | section |
| Linear system of divisors | related to Example | Then | 0.60 | section |
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