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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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/}
}
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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/