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arXiv · 2006.14878

$q-$spherical surfaces in Euclidean space

Sonja Gorjanc·Ema Jurkin
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Abstract

In this paper we define $q$-spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a $q-$fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surfaces, with one and two $n-$fold points, are discussed in detail. We study their properties, give their algebraic equations and visualize them with the program {\it Mathematica}.

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Sonja Gorjanc, Ema Jurkin. 2020-06-26. $q-$spherical surfaces in Euclidean space. https://arxiv.org/abs/2006.14878

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