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arXiv · 1408.5448

A Theory of Harmonic Variations

Tristram de Piro
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Abstract

We consider a class of "harmonic variations" for nonsingular curves, obtained as asymptotic degenerations along bitangents. On a geometric level, we obtain an attractive relationship between the class and the genus of $C$. The distribution of class points in pairs across nonsingular curves with such variations, further suggests applications to understanding covalent bonding in terms of shared electrons.

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Tristram de Piro. 2014-08-23. A Theory of Harmonic Variations. https://arxiv.org/abs/1408.5448

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