divisor in algebraic geometry
C27993
concept
A divisor in algebraic geometry is a formal finite integer linear combination of irreducible codimension-one subvarieties (or points on a curve), used to encode zeros and poles of rational functions and to study line bundles and linear systems.
All labels observed (2)
| Label | Occurrences |
|---|---|
| divisor in algebraic geometry canonical | 2 |
| Weil divisor generalization | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: divisor in algebraic geometry
Generated description
A divisor in algebraic geometry is a formal finite integer linear combination of irreducible codimension-one subvarieties (or points on a curve), used to encode zeros and poles of rational functions and to study line bundles and linear systems.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Weil divisor | — |
| Cartier divisor | — |