Picard and Lefschetz numbers of real algebraic surfaces
Matematičeskie zametki, Tome 63 (1998) no. 6, pp. 847-852.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@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},
     publisher = {mathdoc},
     volume = {63},
     number = {6},
     year = {1998},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a4/
%G ru
%F MZM_1998_63_6_a4
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/

[1] Krasnov V. A., “Kharakteristicheskie klassy vektornykh rassloenii na veschestvennom algebraicheskom mnogoobrazii”, Izv. AN SSSR. Ser. matem., 55:4 (1991), 716–746

[2] Krasnov V. A., “Kogomologicheskaya gruppa Brauera veschestvennogo algebraicheskogo mnogoobraziya”, Izv. RAN. Ser. matem., 60:5 (1996), 57–88 | MR | Zbl

[3] Kharlamov V. M., “Obobschennoe neravenstvo Petrovskogo”, Funktsion. analiz i ego prilozh., 8:2 (1974), 50–56 | MR | Zbl

[4] Krasnov V. A., “Ob ekvivariantnykh kogomologiyakh Grotendika veschestvennogo algebraicheskogo mnogoobraziya i ikh prilozheniyakh”, Izv. RAN. Ser. matem., 58:3 (1994), 36–52 | MR | Zbl

[5] Krasnov V. A., “Algebraicheskie tsikly na veschestvennom algebraicheskom $GM$-mnogoobrazii i ikh prilozheniya”, Izv. RAN. Ser. matem., 57:4 (1993), 153–173 | Zbl

[6] Krasnov V. A., “Neravenstva Garnaka–Toma dlya otobrazhenii veschestvennykh algebraicheskikh mnogoobrazii”, Izv. AN SSSR. Ser. matem., 47:2 (1983), 268–297 | MR