thedynatomicperiodiccurvesforpolynomialzzdcaresmoothandirreducible

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	thedynatomicperiodiccurvesforpolynomialzzdcaresmoothandirreducible
	Gao Yan 1; Ou Yafei 2
	2014-01-01
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	57 期号:6 页码:1175
摘要	We prove here the smoothness and the irreducibility of the periodic dynatomic curves (c, z) ∈ C~2 such that z is n-periodic for z~d+c, where d ≥ 2. We use the method provided by Buff and Lei where they proved the conclusion for d = 2. The proof for smoothness is based on elementary calculations on the pushforwards of specific quadratic differentials, following Thurston and Epstein, while the proof for irreducibility is a simplified version of Lau-Schleicher's proof by using elementary arithmetic properties of kneading sequence instead of internal addresses.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41967
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.Department of Mathematics, Angers University
推荐引用方式 GB/T 7714	Gao Yan,Ou Yafei. thedynatomicperiodiccurvesforpolynomialzzdcaresmoothandirreducible[J]. sciencechinamathematics,2014,57(6):1175.
APA	Gao Yan,&Ou Yafei.(2014).thedynatomicperiodiccurvesforpolynomialzzdcaresmoothandirreducible.sciencechinamathematics,57(6),1175.
MLA	Gao Yan,et al."thedynatomicperiodiccurvesforpolynomialzzdcaresmoothandirreducible".sciencechinamathematics 57.6(2014):1175.