# Weber's theorem

In mathematics, **Weber's theorem**, named after Heinrich Martin Weber, is a result on algebraic curves. It states the following.

- Consider two non-singular curves
*C*and*C*′ having the same genus*g*> 1. If there is a rational correspondence φ between*C*and*C*′, then φ is a birational transformation.

## References

- Coolidge, J. L. (1959).
*A Treatise on Algebraic Plane Curves*. New York: Dover. p. 135. ISBN 0-486-60543-4. - Weber, H. (1873). "Zur Theorie der Transformation algebraischer Functionen".
*Journal für die reine und angewandte Mathematik*(in German).**76**: 345–348.

## External links

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