Enumeration of real conics and maximal configurations

Brugallé, Erwan, and Puignau, Nicolas. "Enumeration of real conics and maximal configurations." Journal of the European Mathematical Society 015.6 (2013): 2139-2164. <http://eudml.org/doc/277583>.

@article{Brugallé2013,
abstract = {We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\mathbb \{R\}P^n$ is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real.},
author = {Brugallé, Erwan, Puignau, Nicolas},
journal = {Journal of the European Mathematical Society},
keywords = {tropical geometry; floor decomposition; real enumerative geometry; Gromov-Witten invariants; real algebraic geometry; Schubert calculus; enumerative geometry; real algebraic geometry; tropical geometry; Schubert calculus; Gromov-Witten invariants; floor decomposition},
language = {eng},
number = {6},
pages = {2139-2164},
publisher = {European Mathematical Society Publishing House},
title = {Enumeration of real conics and maximal configurations},
url = {http://eudml.org/doc/277583},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Brugallé, Erwan
AU - Puignau, Nicolas
TI - Enumeration of real conics and maximal configurations
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 6
SP - 2139
EP - 2164
AB - We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\mathbb {R}P^n$ is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real.
LA - eng
KW - tropical geometry; floor decomposition; real enumerative geometry; Gromov-Witten invariants; real algebraic geometry; Schubert calculus; enumerative geometry; real algebraic geometry; tropical geometry; Schubert calculus; Gromov-Witten invariants; floor decomposition
UR - http://eudml.org/doc/277583
ER -