The Harnack–Thom Inequalities for Sheaves with Involution and Their Applications
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 686-695
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For the cohomology of a sheaf of Abelian groups with involution on a topological space, inequalities that are analogs of the classical Harnack–Thom inequality for the cohomology of a topological space with involution are proved. The general inequalities obtained are applied to reprove some known inequalities and prove new ones.
@article{MZM_2003_74_5_a4,
author = {V. A. Krasnov},
title = {The {Harnack{\textendash}Thom} {Inequalities} for {Sheaves} with {Involution} and {Their} {Applications}},
journal = {Matemati\v{c}eskie zametki},
pages = {686--695},
year = {2003},
volume = {74},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a4/}
}
V. A. Krasnov. The Harnack–Thom Inequalities for Sheaves with Involution and Their Applications. Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 686-695. http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a4/
[1] Krasnov V. A., “Neravenstva Garnaka–Toma dlya otobrazhenii veschestvennykh algebraicheskikh mnogoobrazii”, Izv. AN SSSR. Ser. matem., 47:2 (1983), 268–297 | MR
[2] Grotendik A., O nekotorykh voprosakh gomologicheskoi algebry, IL, M., 1961
[3] Krasnov V. A., “Vyrozhdeniya veschestvennykh algebraicheskikh mnogoobrazii”, Izv. AN SSSR. Ser. matem., 49:4 (1985), 798–837 | MR
[4] Krasnov V. A., “Neravenstvo Garnaka–Toma dlya kriticheskoi tochki mnogochlena”, Matem. zametki, 38:5 (1985), 717–720 | MR | Zbl
[5] Milnor Dzh., Osobye tochki kompleksnykh giperpoverkhnostei, Mir, M., 1971 | MR | Zbl