Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 269-283
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T. A. Sokolova. On the question of the point correspondences between three projective spaces. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 4 (1973), pp. 269-283. http://geodesic.mathdoc.fr/item/INTG_1973_4_a9/
@article{INTG_1973_4_a9,
author = {T. A. Sokolova},
title = {On the question of the point correspondences between three projective spaces},
journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
pages = {269--283},
year = {1973},
volume = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTG_1973_4_a9/}
}
TY - JOUR
AU - T. A. Sokolova
TI - On the question of the point correspondences between three projective spaces
JO - Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara
PY - 1973
SP - 269
EP - 283
VL - 4
UR - http://geodesic.mathdoc.fr/item/INTG_1973_4_a9/
LA - ru
ID - INTG_1973_4_a9
ER -
%0 Journal Article
%A T. A. Sokolova
%T On the question of the point correspondences between three projective spaces
%J Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara
%D 1973
%P 269-283
%V 4
%U http://geodesic.mathdoc.fr/item/INTG_1973_4_a9/
%G ru
%F INTG_1973_4_a9
Point correspondences between three projective spaces, studied by M. Villa, are considered in one- and $n$-dimensional cases. Trilinear correspondences between three projective lines are classified. Some properties of the bundle of trilinear correspondences osculating to a general correspondence of three lines are given. Analogous properties of osculating generalized Godeaux correspondences are studied in the $n$-dimensional case.
