Lower bounds on the canonical height associated to the morphism $${\phi(z)= z^d+c}$$
Lower bounds on the canonical height associated to the morphism $${\phi(z)= z^d+c}$$
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与态射相关的规范高度的下界 $${phi(z)= z^d c}$$
DOI：
10.1007/s00605-008-0018-6
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Patrick Ingram
中科院分区：
文献类型：
--
作者：
Patrick Ingram
得到了在游荡点α处求值的态射$${\phi（z）=z^d+c}$$的正则高度的下界。下界是Ch（c）的形式，对于某个常数C，取决于$${\phi}$$的坏约化素数的数量，以及数域$${\mathbb{Q}（c，\alpha）}$$的度。
A lower bound is obtained of the canonical height associated to the morphism $${\phi(z)=z^d+c}$$ evaluated at wandering points α. The lower bound is of the form Ch(c), for some constant C depending on the the number of primes of bad reduction for $${\phi}$$ , and the degree of the number field $${\mathbb{Q}(c, \alpha)}$$ .