Computing the Chow variety of quadratic space curves
Algebraic Geometry
2023-06-12 v2 Symbolic Computation
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.
Keywords
Cite
@article{arxiv.1508.07219,
title = {Computing the Chow variety of quadratic space curves},
author = {Peter Bürgisser and Kathlén Kohn and Pierre Lairez and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1508.07219},
year = {2023}
}