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Burkhardt Quartic

The variety which is an invariant of degree four and is given by the equation

y_0^4-y_0(y_1^3+y_2^3+y_3^3+y_4^3)+3y_1y_2y_3y_4=0.

See also

Quartic Equation

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References

Burkhardt, H. "Untersuchungen aus dem Gebiet der hyperelliptischen Modulfunctionen. II." Math. Ann. 38, 161-224, 1890.Burkhardt, H. "Untersuchungen aus dem Gebiet der hyperelliptischen Modulfunctionen. III." Math. Ann. 40, 313-343, 1892.Hunt, B. "The Burkhardt Quartic." Ch. 5 in The Geometry of Some Special Arithmetic Quotients. New York: Springer-Verlag, pp. 168-221, 1996.

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Burkhardt Quartic

Cite this as:

Weisstein, Eric W. "Burkhardt Quartic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BurkhardtQuartic.html

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