| 单词 | Riemann Curve Theorem |
| 释义 | Riemann Curve TheoremIf two algebraic plane curves with only ordinary singular points and Cusps are related such that thecoordinates of a point on either are Rational Functions of a corresponding point on the other, then the curves have thesame Genus (Curve). This can be stated equivalently as the Genus of a curve is unaltered by aBirational Transformation.
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 120, 1959. |
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