Izvestiya. Mathematics, Tome 62 (1998) no. 5, pp. 1055-1071
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N. A. Tyurin. Semiholomorphic structures. Izvestiya. Mathematics, Tome 62 (1998) no. 5, pp. 1055-1071. http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/
@article{IM2_1998_62_5_a8,
author = {N. A. Tyurin},
title = {Semiholomorphic structures},
journal = {Izvestiya. Mathematics},
pages = {1055--1071},
year = {1998},
volume = {62},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/}
}
TY - JOUR
AU - N. A. Tyurin
TI - Semiholomorphic structures
JO - Izvestiya. Mathematics
PY - 1998
SP - 1055
EP - 1071
VL - 62
IS - 5
UR - http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/
LA - en
ID - IM2_1998_62_5_a8
ER -
%0 Journal Article
%A N. A. Tyurin
%T Semiholomorphic structures
%J Izvestiya. Mathematics
%D 1998
%P 1055-1071
%V 62
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/
%G en
%F IM2_1998_62_5_a8
We consider the $\operatorname{SU}(4)$-instanton equation on complex-oriented manifolds, introduce the notion of a semiholomorphic structure on bundles over these manifolds, and derive a condition for the notions of holomorphy and semiholomorphy to coincide.