Cycles of quadratic polynomials and rational points on a genus 2 curve
It has been conjectured that for N sufficiently large, there are no quadratic polynomials in 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 to X$_1$(16), who...
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| Format: | Journal article |
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1997
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