Weber's theorem (Algebraic curves)

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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

Further reading

  • Tsuji, Masatsugu (1941). "Theory of conformal mapping of a multiply connected domain". Japanese Journal of Mathematics :Transactions and Abstracts 18: 759–775. doi:10.4099/jjm1924.18.0_759. 

External links