TL;DR
This paper classifies rational, irreducible quartic symmetroids in projective 3-space, detailing their singularities and geometric configurations.
Contribution
It provides a complete classification of rational quartic symmetroids, identifying their possible singularities and geometric structures.
Findings
Symmetroids are singular along a line or a smooth conic
Some symmetroids have a triple point or a tacnode
Classification covers all rational irreducible quartic symmetroids
Abstract
We classify rational, irreducible quartic symmetroids in projective 3-space. They are either singular along a line or a smooth conic section, or they have a triple point or a tacnode.
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