Apparent contours of nonsingular real cubic surfaces
Sergey Finashin, Viatcheslav Kharlamov
TL;DR
This paper classifies the deformation types of real Zariski sextics, which are the apparent contours of nonsingular real cubic surfaces, revealing a duality in their deformation classes.
Contribution
It provides a complete deformation classification of real Zariski sextics and uncovers a duality in their deformation classes.
Findings
Complete deformation classification of real Zariski sextics
Identification of a reversion duality in deformation classes
Insights into the topology of real cubic surface contours
Abstract
We give a complete deformation classification of real Zariski sextics, that is of generic apparent contours of nonsingular real cubic surfaces. As a by-product, we observe a certain "reversion" duality in the set of deformation classes of these sextics.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Differential Equations and Dynamical Systems