birationally

Adverb

Meaning

birationally (not comparable)

(mathematics) In birational terms.
Two varieties are said to be birationally equivalent if there exists a birational map between them.

Examples

Equivalently, they are birationally equivalent if their function fields are isomorphic. Source: Internet

This means that any algebraic variety can be replaced by (more precisely is birationally equivalent to) a similar variety which has no singularities. Source: Internet

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