Proof of the Fukui conjecture via resolution of singularities and related methods. V
作者: Shigeru ArimotoMark SpivakovskyEiji YoshidaKeith F. TaylorPaul G. Mezey
作者单位: 1Tsuyama National College of Technology
2Université Paul Sabatier
3Dalhousie University
4Memorial University
刊名: Journal of Mathematical Chemistry, 2011, Vol.49 (8), pp.1700-1712
来源数据库: Springer Journal
DOI: 10.1007/s10910-011-9852-1
关键词: Fukui conjectureRepeat space theory (RST)Asymptotic linearity theorem (ALT)Resolution of singularitiesMatrix artAsymptotic linearity theorem extension conjecture (ALTEC)
英文摘要: Abstract(#br)The present article is a direct continuation of part IV of this series. The Local Analyticity Proposition (LAP1), which admits a proof via resolution of singularities is a major key to proving the Fukui conjecture via resolution of singularities and related methods. By LAP1, the essential part of the mechanism of the “asymptotic linearity phenomena” is extracted and is elucidated by using tools from the theory of algebraic and analytic curves. Here in the present article, we complete the proof of the LAP1 by using fundamental tools developed in parts III and IV of this series, thus completing the proof of the Fukui conjecture via resolution of singularities and related methods. This series of articles I-V establishes, for the first time, a new linkage between (i) the...
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影响因子:1.226 (2012)

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关键词翻译
关键词翻译
  • conjecture 推测
  • resolution 分解能力
  • related 有关的