Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
Silhol, R.
Compositio Mathematica, Tome 60 (1986), p. 53-63 / Harvested from Numdam
Publié le : 1986-01-01
@article{CM_1986__60_1_53_0,
     author = {Silhol, Robert},
     title = {Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface},
     journal = {Compositio Mathematica},
     volume = {60},
     year = {1986},
     pages = {53-63},
     mrnumber = {867956},
     zbl = {0608.14028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1986__60_1_53_0}
}
Silhol, R. Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface. Compositio Mathematica, Tome 60 (1986) pp. 53-63. http://gdmltest.u-ga.fr/item/CM_1986__60_1_53_0/

[1] E.E. Floyd: Periodic maps via Smith theory, in Seminar on Transformation groups p. 35-47. Princeton University Press, Princeton (1960).

[2] P. Griffiths and J. Harris: Principles of Algebraic Geometry. J. Wiley & Sons, New York (1978). | MR 507725 | Zbl 0408.14001

[3] V.M. Kharlamov: The topological type of nonsingular surfaces in RP3 of degree four. Functional Anal. Appl 10 (1976) 295-305. | Zbl 0362.14013

[4] A. Neron: Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Publi. Math. IHES, Paris (1964). | Numdam | MR 179172 | Zbl 0132.41403

[5] J.-J. Risler: Sur le 16éme problème de Hilbert, in Séminaire sur la géométrie algébrique réelle. Publi. Math. de Paris VII, Paris (1979) 163-164. | Zbl 0524.14029

[6] V.A. Rokhlin: Congruences modulo 16 in Hilbert's 16th problem. Funct. Anal Appl. 6 (1972) 301-306 and ibid. 7 (1974) 163-164. | Zbl 0295.14009

[7] R. Silhol: A bound on the order of H(a)n-1(X, Z/2) on a real algebraic variety, in Géométrie algébrique Réelle et Formes Quadratiques. Lecture Notes in Math. 959, p. 443-450 Berlin -Heidelberg-New York (1982). | MR 683148 | Zbl 0558.14003

[8] R. Silhol: Real algebraic surfaces with rational or elliptic fiberings. Math. Z. 186 (1984) 465-499. | MR 744960 | Zbl 0558.14022

[9] O.Y. Viro: Construction of real algebraic surfaces with many components. Soviet Math. Dokl. 20 (1979) N° 5, p. 991-995. | Zbl 0435.14006

[10] G. Wilson: Hilbert's sixteenth problem. Topology 17 (1978) 53-73. | MR 498591 | Zbl 0394.57001