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
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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.
@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
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/