English

Enumeration of Real Conics and Maximal Configurations

Algebraic Geometry 2011-02-10 v1

Abstract

We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in \RPn\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.

Keywords

Cite

@article{arxiv.1102.1834,
  title  = {Enumeration of Real Conics and Maximal Configurations},
  author = {Erwan Brugallé and Nicolas Puignau},
  journal= {arXiv preprint arXiv:1102.1834},
  year   = {2011}
}

Comments

19 pages, 12 figures