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arXiv · 2606.31965

Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras

Colin Alstad·Timothy Duff·Mordechai Katzman
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Abstract

Motivated by applications of algebraic geometry to reconstruction problems in computer vision, we initiate a study of the equations of degeneracy loci associated with linearly dependent points on Segre varieties. When these points are constrained to lie on a common hyperplane, we prove that the vanishing ideals of these loci are prime, Cohen-Macaulay, and generated by the natural maximal minors, and that these minors form a universal Gr\"{o}bner basis.

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Colin Alstad, Timothy Duff, Mordechai Katzman. 2026-06-30. Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras. https://arxiv.org/abs/2606.31965

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