Matematičeskie zametki, Tome 63 (1998) no. 6, pp. 847-852
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V. A. Krasnov. Picard and Lefschetz numbers of real algebraic surfaces. Matematičeskie zametki, Tome 63 (1998) no. 6, pp. 847-852. http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a4/
@article{MZM_1998_63_6_a4,
author = {V. A. Krasnov},
title = {Picard and {Lefschetz} numbers of real algebraic surfaces},
journal = {Matemati\v{c}eskie zametki},
pages = {847--852},
year = {1998},
volume = {63},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a4/}
}
TY - JOUR
AU - V. A. Krasnov
TI - Picard and Lefschetz numbers of real algebraic surfaces
JO - Matematičeskie zametki
PY - 1998
SP - 847
EP - 852
VL - 63
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a4/
LA - ru
ID - MZM_1998_63_6_a4
ER -
%0 Journal Article
%A V. A. Krasnov
%T Picard and Lefschetz numbers of real algebraic surfaces
%J Matematičeskie zametki
%D 1998
%P 847-852
%V 63
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a4/
%G ru
%F MZM_1998_63_6_a4
Two Picard numbers and two Lefschetz numbers are defined for a real algebraic surface. They are similar to the Picard number and the Lefschetz number of a complex algebraic surface. For these numbers, some estimates and relations in the form of inequalities are proved.
[1] Krasnov V. A., “Kharakteristicheskie klassy vektornykh rassloenii na veschestvennom algebraicheskom mnogoobrazii”, Izv. AN SSSR. Ser. matem., 55:4 (1991), 716–746