Enumeration of Real Conics and Maximal Configurations

Details Enumeration of Real Conics and Maximal Configurations Enumeration of Real Conics and Maximal Configurations

2011-02-09

arxiv.org/abs/1102.1834v1

Mathematics

Algebraic Geometry

19 pages, 12 figures

Scientific paper

We use floor decompositions of tropical curves to prove that any enumerative
problem concerning conics passing through projective-linear subspaces in
$\RP^n$ is maximal. That is, there exist generic configurations of real linear
spaces such that all complex conics passing through these constraints are
actually real.

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