Tropical Quadrics Through Three Points

Details Tropical Quadrics Through Three Points Tropical Quadrics Through Three Points

2010-02-02

arxiv.org/abs/1002.0603v1

Mathematics

Algebraic Geometry

9 pages, 3 figures

Scientific paper

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.

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