The topological type of nonsingular surfaces in RP³ of degree four

1. D. Hilbert, "Mathematische Probleme," Arch. Math. Phys.,1, No. 3, 213–237 (1901).

   Google Scholar 

2. D. A. Gudkov, "The topology of real projective algebraic manifolds," Usp. Mat. Nauk, 29, No. 4, 3–79 (1974).

   Google Scholar 

3. "Algebraic Surfaces," Trudy Matem. In-ta im. V. A. Steklov, Akad. Nauk SSSR,75 (1965).

4. V. I. Arnol'd, "On the location of ovals of real plane algebraic curves, involutions of smooth four-dimensional manifolds, and the arithmetic of integral quadratic forms," Funktsional'. Analiz i Ego Prilozhen.,5, No. 3, 1–9 (1971).

   Google Scholar 

5. D. A. Gudkov and G. A. Utkin, "The topology of curves of order 6 and surfaces of order 4," Uchenye Zapiski Gor'k. Un-ta, No. 87, 3–213 (1969).

   Google Scholar 

6. V. M. Kharlamov, "Further congruences for the Euler characteristic of real even-dimensional algebraic manifolds," Funktsional'. Analiz i Ego Prilozhen.,9, No. 2, 51–60 (1975).

   Google Scholar 

7. A. Douady, "Le problème des modules pour les variétés analytiques complexes," Séminaire Bourbaki, fasc. 1 (1964/65).

8. K. Kodaira and D. C. Spencer, "On deformations of complex analytic structures III," Ann. Math.,71, 43–76 (1960).

   Google Scholar 

9. P. A. Griffiths, "Periods of integrals on algebraic manifolds I," Ann. Math.,90, No. 3, 460–495 (1969).

   Google Scholar 

10. C. H. Clemens, "Picard—Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities," Trans. Amer. Math. Soc.,136. 93–108 (1969).

    Google Scholar 

11. D. Hilbert, "Ueber die reelen Züge algebraischer Kurven," Math. Ann.,38, 115–138 (1891).

    Google Scholar 

12. V. A. Rokhlin, "Congruences mod 16 in Hilbert's sixteenth problem," Funktsional'. Analiz i Ego Prilozhen.,6, No. 4, 58–64 (1972).

    Google Scholar 

13. Van der Blij, "An invariant of quadratic forms mod 8," Indag. Math.,21, 291–293 (1959).

    Google Scholar 

14. J.-P. Serre. A Course in Arithmetic, Graduate Texts in Mathematics, Springer, New York.

15. V. M. Kharlamov, "New congruences for the Euler characteristic of real algebraic manifolds," Funktsional'. Analiz i Ego Prilozhen.,7, No. 2, 74–78 (1973).

    Google Scholar 

16. C. T. C. Wall, "On the orthogonal groups of unimodular quadratic forms," Math. Ann.,147, 328–338 (1962).

    Google Scholar 

17. G. E. Bredon, Introduction to Compact Transformation Groups, Academic Press, New York (1972).

    Google Scholar 

18. M. F. Atiyah and I. M. Singer, "The index of elliptic operators. III," Ann. Math.,87, 484–530 (1968).

    Google Scholar 

Download references