isBirationalTo
P97268
predicate
Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isBirationallyEquivalentTo | 2 |
| isBirationalTo 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: isBirationalTo
Generated description
Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
Sample triples (3)
| Subject | Object |
|---|---|
|
Clebsch diagonal surfaces
surface form:
Clebsch diagonal surface
|
blow-up of P^2 in six points ⓘ |
| Twisted Edwards curve | Weierstrass elliptic curve via predicate surface "isBirationallyEquivalentTo" NERFINISHED ⓘ |
| Twisted Edwards curve | Montgomery curve via predicate surface "isBirationallyEquivalentTo" NERFINISHED ⓘ |