Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface

R. Silhol

Compositio Mathematica (1986)

  • Volume: 60, Issue: 1, page 53-63
  • ISSN: 0010-437X

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Silhol, R.. "Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface." Compositio Mathematica 60.1 (1986): 53-63. <http://eudml.org/doc/89797>.

@article{Silhol1986,
author = {Silhol, R.},
journal = {Compositio Mathematica},
keywords = {number of connected components; first Betti number; real algebraic surface; Hodge decomposition},
language = {eng},
number = {1},
pages = {53-63},
publisher = {Martinus Nijhoff Publishers},
title = {Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface},
url = {http://eudml.org/doc/89797},
volume = {60},
year = {1986},
}

TY - JOUR
AU - Silhol, R.
TI - Bounds for the number of connected components and the first Betti number mod two of a real algebraic surface
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 1
SP - 53
EP - 63
LA - eng
KW - number of connected components; first Betti number; real algebraic surface; Hodge decomposition
UR - http://eudml.org/doc/89797
ER -

References

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  1. [1] E.E. Floyd: Periodic maps via Smith theory, in Seminar on Transformation groups p. 35-47. Princeton University Press, Princeton (1960). 
  2. [2] P. Griffiths and J. Harris: Principles of Algebraic Geometry. J. Wiley & Sons, New York (1978). Zbl0408.14001MR507725
  3. [3] V.M. Kharlamov: The topological type of nonsingular surfaces in RP3 of degree four. Functional Anal. Appl10 (1976) 295-305. Zbl0362.14013
  4. [4] A. Neron: Modèles minimaux des variétés abéliennes sur les corps locaux et globaux. Publi. Math. IHES, Paris (1964). Zbl0132.41403MR179172
  5. [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. Zbl0524.14029
  6. [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. Zbl0295.14009
  7. [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. 443-450Berlin -Heidelberg-New York (1982). Zbl0558.14003MR683148
  8. [8] R. Silhol: Real algebraic surfaces with rational or elliptic fiberings. Math. Z.186 (1984) 465-499. Zbl0558.14022MR744960
  9. [9] O.Y. Viro: Construction of real algebraic surfaces with many components. Soviet Math. Dokl.20 (1979) N° 5, p. 991-995. Zbl0435.14006
  10. [10] G. Wilson: Hilbert's sixteenth problem. Topology17 (1978) 53-73. Zbl0394.57001MR498591

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