rationalPointsProperty
P64879
predicate
Indicates that a mathematical object (typically a variety or curve) has a specified property concerning its rational points, such as their existence, distribution, or structure over a given field.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasRationalPoints | 1 |
| hasRationalPointsForming | 1 |
| rationalPointsProperty canonical | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: rationalPointsProperty
Generated description
Indicates that a mathematical object (typically a variety or curve) has a specified property concerning its rational points, such as their existence, distribution, or structure over a given field.
Sample triples (3)
| Subject | Object |
|---|---|
| Fermat curve | for n ≥ 4 has only trivial rational points (by Fermat’s Last Theorem) ⓘ |
| Mordell curve | finitely generated abelian group via predicate surface "hasRationalPointsForming" ⓘ |
| Mordell curve | solutions (x,y) ∈ ℚ² of y^2 = x^3 + k via predicate surface "hasRationalPoints" ⓘ |