Tropical Quadrics Through Three Points
Algebraic Geometry
2010-02-04 v1 Combinatorics
Abstract
We tropicalize the rational map that takes triples of points in the projective plane to the plane of quadrics passing through these points. The image of its tropicalization is contained in the tropicalization of its image. We identify these objects inside the tropical Grassmannian of planes in projective 5-space, and we explore a small tropical Hilbert scheme.
Cite
@article{arxiv.1002.0603,
title = {Tropical Quadrics Through Three Points},
author = {Sarah Brodsky and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1002.0603},
year = {2010}
}
Comments
9 pages, 3 figures