On holomorphic mappings of polyhedra
Sbornik. Mathematics, Tome 44 (1983) no. 1, pp. 117-123 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper deals with a wide class of polyhedra in complex manifolds and with proper holomorphic mappings from one polyhedron to another. For polyhedra satisfying natural boundary conditions, in particular for analytic polyhedra in $\mathbf C^n$, necessary conditions are obtained for the existence of proper holomorphic and biholomorphic mappings of one polyhedron to another. Bibliography: 6 titles.
@article{SM_1983_44_1_a6,
     author = {S. \`E. Sharonov},
     title = {On holomorphic mappings of polyhedra},
     journal = {Sbornik. Mathematics},
     pages = {117--123},
     year = {1983},
     volume = {44},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_44_1_a6/}
}
TY  - JOUR
AU  - S. È. Sharonov
TI  - On holomorphic mappings of polyhedra
JO  - Sbornik. Mathematics
PY  - 1983
SP  - 117
EP  - 123
VL  - 44
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1983_44_1_a6/
LA  - en
ID  - SM_1983_44_1_a6
ER  - 
%0 Journal Article
%A S. È. Sharonov
%T On holomorphic mappings of polyhedra
%J Sbornik. Mathematics
%D 1983
%P 117-123
%V 44
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1983_44_1_a6/
%G en
%F SM_1983_44_1_a6
S. È. Sharonov. On holomorphic mappings of polyhedra. Sbornik. Mathematics, Tome 44 (1983) no. 1, pp. 117-123. http://geodesic.mathdoc.fr/item/SM_1983_44_1_a6/

[1] Stein K., “Maximal holornorphe und meromorphe Abbildungen. I”, Amer. J. Math., 83:2 (1963), 298–315 | DOI | MR

[2] Stein K., “Maximal holornorphe und meromorphe Abbildungen. II”, Amer. J. Math., 86:4 (1964), 823–868 | DOI | MR | Zbl

[3] Remmert R., Stein K., “Eigentliche holornorphe Abbildungen”, Math. Z., 73:2 (1960), 139–189 | DOI | MR

[4] Rischel H., “Ein Satz über eigentliche holornorphe Abbildungen von analytischen Polyedergebieten”, Math. Scand., 14:2 (1964), 220–224 | MR | Zbl

[5] Fridman B. L., “Ob odnom klasse analiticheskikh poliedrov”, DAN SSSR, 242:5 (1978), 1020–1022 | MR | Zbl

[6] Rudin U., Teoriya funktsii v polikruge, Mir, M., 1974 | MR | Zbl