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References
F. Catanese, P. Frediani: Real hyperelliptic surfaces and the orbifold fundamental group. J. Inst. Math. Jussieu, 2 (2003), 163-223.
A. Degtyarev, I. Itenberg, V. Kharlamov: Real Enriques Surfaces. Lecture Notes in Math., Springer, Berlin, 1746 (2000).
A. Degtyarev, I. Itenberg, V. Kharlamov: Finiteness and quasi-simplicity for symmetric K 3-surfaces. Duke Math. J., 122 (2004), no. 1, 1-49.
A. Degtyarev, I. Itenberg, V. Kharlamov: Finiteness for real hyperkähler manifolds. in preparation.
A. Degtyarev, V. Kharlamov: Topological properties of real algebraic varieties: Rokhlin’s way. Russ. Math. Surveys, 55 (2000), no. 4, 735-814.
A. Degtyarev, V. Kharlamov: Real rational surfaces are quasi-simple. J. Reine. Angew. Math., 551 (2002), 87-99.
V. Kharlamov: Generalized Petrovskii inequality. Funkz. Anal. i Priloz., 9 (1974),50-56.
V. Kharlamov: Generalized Petrovskii inequality II. Funkz. Anal. i Priloz., 10 (1975),93-94.
V. Kharlamov: Topology of real algebraic varieties. in Collected Papers by Petrovskii, Nauka, 1986, 546-598.
V. Kharlamov: On non-amphicheiral surfaces of degree 4 in RP 3 . Lecture Notes in Math. 1346 (1988), 349-356.
V. Kharlamov: Variétés de Fano réelles(d’après C. Viterbo). Astérisque, Séminaire Bourbaki, 276 (2002), 189-206.
V. Kharlamov, V. Kulikov: On real structures of rigid surfaces. Izv. Math., 66 (2003), no. 1, 133-150.
J. Kollár: The topology of real and complex algebraic varieties. Mathematical Society of Japan. Adv. Stud. Pure Math. 31 (2001), 127-145.
J. Kollár: The Nash conjecture for nonprojective threefolds. Contemp. Math. 312 (2002),137-152.
Y. Laszlo, C. Viterbo: Estimates of characteristic numbers of real algebraic varieties. Topology 45 (2006), no. 2, 261-280.
Y. I. Manin. M. A. Tsfasman: Rational varieties: Algebra, geometry and arith-metic. Russ. Math. Surv., 41 (1986), no. 2, 51-116.
J. Milnor: On the Betti numbers of real varieties. Proc. Amer. Math. Soc. 15 (1964),275-280.
V. Nikulin: Kummer surfaces. Math. USSR - Izv., 9 (1975), no. 2, 261-275.
V. Nikulin: Integer symmetric bilinear forms and some of their geometric applications. Math. USSR - Izv., 14 (1979), no. 1, 103-167.
R. Thom: Sur l’homologie des variétés algébriques réelles. In Differential and Combinatorial Topology. Symp. Marston Morse (1965), 255-265.
A. N. Varchenko: On a local residue and the intersection form in vanishing cohomologies. in Izv. Akad. Nauk SSSR, Ser. Mat. 49, (1985), 32-54.
J. Y. Welschinger: Real structures on minimal ruled sufaces. Comment. Math. Helv., 78 (2003), 418-466.
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Kharlamov, V. (2006). Overview of topological properties of real algebraic surfaces. In: Elkadi, M., Mourrain, B., Piene, R. (eds) Algebraic Geometry and Geometric Modeling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33275-6_7
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