Geodesic
Invariants of CR-manifolds associated with the tangent quadric
Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 42-52.

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a system of $\operatorname{CR}$-invariants of a manifold generated by projective invariants of the tangent quadric. We present a description of the group of projective diffeomorphisms of a quartic. We also estimate the degree of a rational mapping of a quartic. The description problem for subgroups of a Cremona group of bounded degree is posed. 
@article{MZM_1996_59_1_a3,
     author = {V. K. Beloshapka},
     title = {Invariants of {CR-manifolds} associated with the tangent quadric},
     journal = {Matemati\v{c}eskie zametki},
     pages = {42--52},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a3/}
}
TY  - JOUR
AU  - V. K. Beloshapka
TI  - Invariants of CR-manifolds associated with the tangent quadric
JO  - Matematičeskie zametki
PY  - 1996
SP  - 42
EP  - 52
VL  - 59
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a3/
LA  - ru
ID  - MZM_1996_59_1_a3
ER  - 
%0 Journal Article
%A V. K. Beloshapka
%T Invariants of CR-manifolds associated with the tangent quadric
%J Matematičeskie zametki
%D 1996
%P 42-52
%V 59
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a3/
%G ru
%F MZM_1996_59_1_a3
V. K. Beloshapka. Invariants of CR-manifolds associated with the tangent quadric. Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 42-52. http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a3/

[1] Beloshapka V. K., “O postroenii normalnoi formy uravneniya poverkhnosti vysokoi korazmernosti”, Matem. zametki, 48:2 (1990), 3–9 | MR | Zbl

[2] Beloshapka V. K., “Teorema edinstvennosti dlya avtomorfizmov nevyrozhdennoi poverkhnosti v kompleksnom prostranstve”, Matem. zametki, 47:3 (1990), 17–22 | MR | Zbl

[3] Beloshapka V. K., “O golomorfnykh preobrazovaniyakh kvadriki”, Matem. sb., 182:2 (1991), 203–219 | Zbl

[4] Beloshapka V. K., “Geometricheskie invarianty $CR$-mnogoobrazii”, Matem. zametki, 55:5 (1994), 3–12 | MR | Zbl

[5] Shafarevich I. R., Algebraicheskaya geometriya, Izd-vo MGU, M., 1968

[6] Loboda A. V., “Porozhdayuschie veschestvenno analiticheskie mnogoobraziya korazmernosti 2 v $\mathbb C^2$ i ikh bigolomorfnye otobrazheniya”, Izv. AN SSSR. Ser. matem., 1988, no. 5, 970–990 | Zbl

[7] Abrosimov A. V., “Opisanie lokalno bigolomorfnykh avtomorfizmov standartnykh kvadrik korazmernosti dva”, Matem. sb., 184:10 (1993), 3–52 | Zbl

[8] Palinchak N. F., “O $c$-zhestkikh kvadrikakh”, Matem. zametki, 59:2 (1996), 224–229 | MR | Zbl

[9] Shevchenko S. N., “Opisanie algebry infinitezimalnykh avtomorfizmov kvadrik korazmernosti dva i ikh klassifikatsiya”, Matem. zametki, 55:5 (1994), 142–153 | MR | Zbl

[10] Ezov V., Schmalz G., Holomorphic Automorphisms of Quadrics of Codimention 2, Preprint, Max-Planck-Institut fur Mathematik, Bohn, 1993

[11] Tumanov A. E., “Konechnost gruppy $CR$-avtomorfizmov standartnogo $CR$-mnogoobraziya i sobstvennye golomorfnye otobrazheniya oblastei Zigelya”, Izv. AN SSSR. Ser. matem., 52:3 (1988), 651–659 | MR | Zbl

[12] Chern S. S., Moser J. K., “Real hypersurfaces in complex manifolds”, Acta Math., 133:3–4 (1974), 219–271 | DOI | MR