Geodesic
On degeneration of $M$-varieties
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 396-401 
V. A. Krasnov. On degeneration of $M$-varieties. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 396-401. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a7/
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     title = {On~degeneration of $M$-varieties},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Here we give here an estimate for the total Betti number of a degenerate fiber of an analytic function on a real variety. Our estimate involves homology groups and the local monodromy action on nondegenerate fibers of complexification of this function.

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

[3] Milnor Dzh., Osobye tochki kompleksnykh giperpoverkhnostei, Mir, M., 1971 | Zbl

[4] Arnold V. I. i dr., Osobennosti differentsiruemykh otobrazhenii. Monodromiya i asimptotiki integralov, Nauka, M., 1984

[5] Krasnov V. A., “Neravenstvo Garnaka–Toma dlya kriticheskoi tochki mnogochlena”, Matem. zametki, 38:5 (1985), 717–720 | MR | Zbl