Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 215-234
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M. E. Kazarian. Boundary singularities of fundamental systems, flattenings of projective curves and Schubert cells. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 215-234. http://geodesic.mathdoc.fr/item/INTD_1988_33_a6/
@article{INTD_1988_33_a6,
author = {M. E. Kazarian},
title = {Boundary singularities of fundamental systems, flattenings of projective curves and {Schubert} cells},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {215--234},
year = {1988},
volume = {33},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a6/}
}
TY - JOUR
AU - M. E. Kazarian
TI - Boundary singularities of fundamental systems, flattenings of projective curves and Schubert cells
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1988
SP - 215
EP - 234
VL - 33
UR - http://geodesic.mathdoc.fr/item/INTD_1988_33_a6/
LA - ru
ID - INTD_1988_33_a6
ER -
%0 Journal Article
%A M. E. Kazarian
%T Boundary singularities of fundamental systems, flattenings of projective curves and Schubert cells
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1988
%P 215-234
%V 33
%U http://geodesic.mathdoc.fr/item/INTD_1988_33_a6/
%G ru
%F INTD_1988_33_a6
The paper studies the bifurcations of the flat points of projective curves and describes the singularities of the boundaries of the regions where typical three-parameter families of curves have no flat points. A flat-point-preserving transformation group of projective curves is introduced. Finite determinacy and versality theorems are proved for this group. A duality theorem is proved and some results concerning the connection of this problem with other problems of singularity theory are presented.
