The Riemann surface of the Algebraic Function Field is the set of nontrivial discrete valuations on . Here, the set corresponds to the Ideals of the Ring of Integers of over . ( consists of the elements of that are Roots of Monic Polynomials over .)

**References**

Fischer, G. (Ed.). Plates 123-126 in *Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume.*
Braunschweig, Germany: Vieweg, pp. 120-123, 1986.

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1999-05-25