# The number of conics tangent to five given conics: the real case.

Felice Ronga; Alberto Tognoli; Thierry Vust

Revista Matemática de la Universidad Complutense de Madrid (1997)

- Volume: 10, Issue: 2, page 391-421
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topRonga, Felice, Tognoli, Alberto, and Vust, Thierry. "The number of conics tangent to five given conics: the real case.." Revista Matemática de la Universidad Complutense de Madrid 10.2 (1997): 391-421. <http://eudml.org/doc/44276>.

@article{Ronga1997,

abstract = {It is a classical result, first established by de Jonquières (1859), that generically the number of conics tangent to 5 given conics in the complex projective plane is 3264. We show here the existence of configurations of 5 real conics such that the number of real conics tangent to them is 3264.},

author = {Ronga, Felice, Tognoli, Alberto, Vust, Thierry},

journal = {Revista Matemática de la Universidad Complutense de Madrid},

keywords = {Curvas planas; Curvas algebraicas reales; Geometría algebraica; Contacto; Tangentes; Teorema de existencia; Estudio numérico; tangent conics; enumerative geometry; real conics},

language = {eng},

number = {2},

pages = {391-421},

title = {The number of conics tangent to five given conics: the real case.},

url = {http://eudml.org/doc/44276},

volume = {10},

year = {1997},

}

TY - JOUR

AU - Ronga, Felice

AU - Tognoli, Alberto

AU - Vust, Thierry

TI - The number of conics tangent to five given conics: the real case.

JO - Revista Matemática de la Universidad Complutense de Madrid

PY - 1997

VL - 10

IS - 2

SP - 391

EP - 421

AB - It is a classical result, first established by de Jonquières (1859), that generically the number of conics tangent to 5 given conics in the complex projective plane is 3264. We show here the existence of configurations of 5 real conics such that the number of real conics tangent to them is 3264.

LA - eng

KW - Curvas planas; Curvas algebraicas reales; Geometría algebraica; Contacto; Tangentes; Teorema de existencia; Estudio numérico; tangent conics; enumerative geometry; real conics

UR - http://eudml.org/doc/44276

ER -

## NotesEmbed ?

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