Function Field Of An Algebraic Variety
In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V. In classical algebraic geometry they are ratios of polynomials; in complex algebraic geometry these are meromorphic functions and their higher-dimensional analogues; in modern algebraic geometry they are elements of some quotient field.
Read more about Function Field Of An Algebraic Variety: Definition For Complex Manifolds, Construction in Algebraic Geometry, Generalization To Arbitrary Scheme, Geometry of The Function Field, Examples
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