Computing the chow variety of quadratic space curves

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Abstract

Quadrics in the Grassmannian of lines in 3-space form a 19-dimensional projective space. We study the subvariety of coisotropic hypersurfaces. Following Gel’fand, Kapranov and Zelevinsky, it decomposes into Chow forms of plane conics, Chow forms of pairs of lines, and Hurwitz forms of quadric surfaces. We compute the ideals of these loci.

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Bürgisser, P., Kohn, K., Lairez, P., & Sturmfels, B. (2016). Computing the chow variety of quadratic space curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9582, pp. 130–136). Springer Verlag. https://doi.org/10.1007/978-3-319-32859-1_10

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