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Computing the Chow variety of quadratic space curves

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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https://hal.archives-ouvertes.fr/hal-01188213
Contributor : Pierre Lairez <>
Submitted on : Friday, November 27, 2015 - 6:59:26 PM
Last modification on : Wednesday, August 7, 2019 - 12:19:22 PM
Document(s) archivé(s) le : Monday, February 29, 2016 - 11:00:34 AM

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  • HAL Id : hal-01188213, version 2
  • ARXIV : 1508.07219

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Peter Bürgisser, Kathlén Kohn, Pierre Lairez, Bernd Sturmfels. Computing the Chow variety of quadratic space curves. Sixth International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS 2015), Nov 2015, Berlin, Germany. ⟨hal-01188213v2⟩

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