Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 62-69
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Yu. G. Kudryashov. Transfer of complex structures and topological character of holomorphy. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 62-69. http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a6/
@article{ZNSL_2008_353_a6,
author = {Yu. G. Kudryashov},
title = {Transfer of complex structures and topological character of holomorphy},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {62--69},
year = {2008},
volume = {353},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a6/}
}
TY - JOUR
AU - Yu. G. Kudryashov
TI - Transfer of complex structures and topological character of holomorphy
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2008
SP - 62
EP - 69
VL - 353
UR - http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a6/
LA - ru
ID - ZNSL_2008_353_a6
ER -
%0 Journal Article
%A Yu. G. Kudryashov
%T Transfer of complex structures and topological character of holomorphy
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 62-69
%V 353
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a6/
%G ru
%F ZNSL_2008_353_a6
The following question by V. I. Arnold is answered in affirmative. Let $X,Y$, and $Z$ be three complex manifolds of the same dimension, $p\colon X\to Y$ the universal covering, $g\colon Y\to Z$ a nondegenerate holomorphic mapping. Suppose that, in the chain $X\overset p\to Y\overset g\to Z$, the term $Y$ is forgotten, while the complex structures on $X$ and $Z$ are changed so that the mapping $g\circ p$ remains holomorphic. Can one recover the forgotten term $Y$? Bibl. – 2 titles.
