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.
@article{urn:eudml:doc:44276,
title = {The number of conics tangent to five given conics: the real case.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {10},
year = {1997},
pages = {391-421},
zbl = {0921.14036},
mrnumber = {MR1605670},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44276}
}
Ronga, Felice; Tognoli, Alberto; Vust, Thierry. The number of conics tangent to five given conics: the real case.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 391-421. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44276/