Abstract
We use the Valentiner action of $\mathcal A_6$ on $\mathbb C \mathbb P^2$ to develop an iterative algorithm for the solution of the general sextic equation over $\mathbb C$, analogous to Doyle and McMullen's algorithm for the quintic.
Citation
Scott Crass. "Solving the sextic by iteration: a study in complex geometry and dynamics." Experiment. Math. 8 (3) 209 - 240, 1999.
Information
Published: 1999
First available in Project Euclid: 9 March 2003
zbMATH: 1060.14530
MathSciNet: MR1724156
Subjects:
Primary:
14N99
Secondary:
14H45
,
14L30
,
37F10
,
37F50
Rights: Copyright © 1999 A K Peters, Ltd.
