Proof of the Fukui conjecture via resolution of singularities and related methods: III |
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Authors: | Shigeru Arimoto |
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Institution: | 1.Division of General Education and Research,Tsuyama National College of Technology,Tsuyama, Okayama,Japan |
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Abstract: | The present article is a direct continuation of the second part of this series. In conjunction with the analysis of the energy
band curves of carbon nanotubes, we develop here fundamental theoretical tools, which are essential to prove the Local Analyticity
Proposition (LAP). The LAP enables one to prove the Fukui conjecture (the guiding conjecture for developing the repeat space
theory) in a new and powerful context of the theory of algebraic curves and resolution of singularities. The present fundamental
tools also serve as modular tools for the repeat space theory, by which one can solve a variety of additivity and molecular
network problems in a unifying manner. |
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Keywords: | |
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