Real submanifolds in complex space: polynomial models, automorphisms, and classification problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 1, pp. 1-41
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This is a survey of results on the local theory of real submanifolds of a complex space. Most of the results included here were obtained in Vitushkin's seminar at Moscow State University over the last fifteen years. The most important achievement is a technique for computing automorphisms, invariants, and classifications of real submanifolds, which includes as a main step the construction of a “good” model surface (an analogue of an osculating paraboloid in
classical differential geometry).
@article{RM_2002_57_1_a0,
author = {V. K. Beloshapka},
title = {Real submanifolds in complex space: polynomial models, automorphisms, and classification problems},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1--41},
publisher = {mathdoc},
volume = {57},
number = {1},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2002_57_1_a0/}
}
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%0 Journal Article %A V. K. Beloshapka %T Real submanifolds in complex space: polynomial models, automorphisms, and classification problems %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2002 %P 1-41 %V 57 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2002_57_1_a0/ %G en %F RM_2002_57_1_a0
V. K. Beloshapka. Real submanifolds in complex space: polynomial models, automorphisms, and classification problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 1, pp. 1-41. http://geodesic.mathdoc.fr/item/RM_2002_57_1_a0/