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Burkhardt Quartic

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

\begin{displaymath}
y_0^4-y_0(y_1^3+y_2^3+y_3^3+y_4^3)+3y_1y_2y_3y_4=0.
\end{displaymath}


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.




© 1996-9 Eric W. Weisstein
1999-05-26