A lower bound on the canonical height for polynomials
A lower bound on the canonical height for polynomials
复制标题
多项式规范高度的下界
DOI：
10.1007/s00208-018-1735-3
复制
发表时间：
2017
影响因子：
1.4
通讯作者：
Nicole R. Looper
中科院分区：
文献类型：
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作者：
Nicole R. Looper
证明了数域上多项式在无穷向前轨道点上的正则高度的一个下界。下界仅取决于多项式的次数、数域的次数和坏约简的位数。
We prove a lower bound on the canonical height associated to polynomials over number fields evaluated at points with infinite forward orbit. The lower bound depends only on the degree of the polynomial, the degree of the number field, and the number of places of bad reduction.