What Is Birational Geometry?
In Mathematics, Birational Geometry Is a Field of Algebraic Geometry in Which the Goal Is to Determine When Two Algebraic Varieties Are Isomorphic Outside...
In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets.
What does birational?
birationaladjective. Describing a rational geometric function that has a rational inverse.
What is a birational map?
A birational map from X to Y is a rational map f: X ⇢ Y such that there is a rational map Y ⇢ X inverse to f. A birational map induces an isomorphism from a nonempty open subset of X to a nonempty open subset of Y. In this case, X and Y are said to be birational, or birationally equivalent.
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