Definitions

1. adjective

relating to or involving a birational map, which is a bijective rational map between two algebraic varieties

“The birational equivalence between the two curves is fundamental to the study of their geometric properties.”

2. noun

a birational map or the property of being birationally equivalent

“The birational transformation of the surface is a key aspect of its algebraic geometry.”

3. verb

to establish a birational equivalence or map between two algebraic varieties

“The mathematicians were able to birationalize the two varieties and study their common properties.”