函数域上满足动力学一致有界原理的新族
New families satisfying the Dynamical Uniform Boundedness Principle over function fields
摘要：
我们扩展了一种技术，最初是由于第一作者和Poonen，证明情况下的强一致有界性原则（SUBP）在代数动力学的功能领域的积极特征。原来的方法适用于单临界多项式的特点不划分的程度。我们证明了许多新的单参数多项式族满足SUBP，包括偶数特征的所有二次多项式族。我们还给出了一类新的非多项式、非Lattès有理函数，它们满足SUBP。
英文摘要：
We extend a technique, originally due to the first author and Poonen, for proving cases of the Strong Uniform Boundedness Principle (SUBP) in algebraic dynamics over function fields of positive characteristic. The original method applied to unicritical polynomials for which the characteristic does not divide the degree. We show that many new 1-parameter families of polynomials satisfy the SUBP, including the family of all quadratic polynomials in even characteristic. We also give a new family of non-polynomial, non-Lattès rational functions that satisfies the SUBP.
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