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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Үндсэн зохиолчид: Flynn, E, Poonen, B, Schaefer, E
Формат: Journal article
Хэвлэсэн: 1997

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