# Enumeration of real conics and maximal configurations

Erwan Brugallé; Nicolas Puignau

Journal of the European Mathematical Society (2013)

- Volume: 015, Issue: 6, page 2139-2164
- ISSN: 1435-9855

## Access Full Article

top## Abstract

top## How to cite

topBrugallé, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.