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arXiv · 2206.10484

The weave product of two conics

Bernhard Odin Werner
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Abstract

Tensor diagrams are a handy way to depict complicated relationships between objects in projective geometry. One of the simpler ones takes two copies of a $3\times 3$ matrix and computes its adjugate. In this paper, we give a geometric interpretation of this construction when two different matrices are used. To do so, we interpret them as coefficient matrices of conic sections in the projective plane and relate the diagram construction to their common tangents.

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Bernhard Odin Werner. 2022-06-21. The weave product of two conics. https://arxiv.org/abs/2206.10484

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