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- W2894848086 abstract "Let $S={x^2+c_1, x^2+c_2,dots, x^2+c_s}$ be a set of quadratic polynomials with rational coefficients, and let $P$ be a rational basepoint. We classify the pairs $(S,P)$ for which $P$ has finite orbit for $S$, assuming that the maximum period length for each individual polynomial is at most three (conjectured by Poonen). In particular, under these hypotheses we prove that if $sgeq4$, then there are no points $P$ with finite orbit for $S$. Moreover, we use this perspective to formulate an analog of the Morton-Silverman Conjecture for sets of rational functions." @default.
- W2894848086 created "2018-10-12" @default.
- W2894848086 creator A5028002831 @default.
- W2894848086 date "2018-10-04" @default.
- W2894848086 modified "2023-09-27" @default.
- W2894848086 title "Finite orbit points for sets of quadratic polynomials." @default.
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