Distribution of ovals of the real plane of algebraic curves, of involutions of four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms
Funkcionalʹnyj analiz i ego priloženiâ, Tome 5 (1971) no. 3, pp. 1-9.

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V. I. Arnol'd. Distribution of ovals of the real plane of algebraic curves, of involutions of four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms. Funkcionalʹnyj analiz i ego priloženiâ, Tome 5 (1971) no. 3, pp. 1-9. http://geodesic.mathdoc.fr/item/FAA_1971_5_3_a0/

[1] Harnack A., “Über die Vielheitkeit der ebenen algebraischen Kurven”, Math. Ann., 10 (1876), 189–199 | DOI | MR

[2] Hilbert D., “Über die reellen Ziige algebraischen Kurven”, Math. Ann., 38 (1891), 115–138 | DOI | MR

[3] Rohn K., “Die Maximalzahl und Anordnung der Ovale bei der ebenen Kurve 6 Ordnung und bei Flache 4 Ordnung”, Math. Ann., 73 (1913), 177–229 | DOI | MR

[4] Petrovsky I., “On the topology of real plane algebraic curves”, Ann. Math., 39:1 (1938), 187–209 | MR

[5] Gudkov D.A., “Topologiya krivykh 6-go poryadka i poverkhnostei 4-go poryadka”, Uchenye zapiski Gork. un-ta, 87, 1969, 3–153 | MR

[6] Hirzebruch F., Mayer K.H., “$O(n)$-Manigfaltigkeiten, exotische Sphären und Singuläritaten”, Lecture Notes in Math., 57, J. Springer, 1968, 89–91 | DOI | MR

[7] Milnor J., “On simply connected 4-manifold”, Symposium International de Topologia Algebraica, Mexico, 1958, 122–128 | MR | Zbl

[8] Serre J.-P., Cours d'arithmetique, Presses Universitaires de France, Paris, 1970 | MR | Zbl

[9] Rokhlin V.A., “Dvumernye podmnogoobraziya chetyrekhmernykh mnogoobrazii”, Funkts. analiz, 5:1 (1971), 48–60 | MR | Zbl

[10] Atya M.F., Zinger I.M., “Indeks ellipticheskikh operatorov. III”, UMN, XXIV:1 (1969), 127–182 | MR | Zbl

[11] Khirtsebrukh F., “Ellipticheskie differentsialnye operatory na mnogoobraziyakh”, UMN, XXIII:1 (1968), 191–209