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

Abstract

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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.

How to cite

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Ronga, 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 -

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