Cycles of Quadratic Polynomials and Rational Points on a Genus-Two Curve
It has been conjectured that for $N$ sufficiently large, there are no quadratic polynomials in $\bold Q[z]$ with rational periodic points of period $N$. Morton proved there were none with $N=4$, by showing that the genus~$2$ algebraic curve that classifies periodic points of period~4 is birational t...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1995
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