Real Algebraic and Analytic Geometry

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197. Mouadh Akriche, Frédéric Mangolte:
Nombres de Betti des surfaces elliptiques réelles.

e-mail:
homepage: http://www.lama.univ-savoie.fr/sitelama/Membres/pages_web/MANGOLTE/

Submission: 2006, April 22.

Abstract:
We prove a new bound for the number of connected components of a real regular elliptic surface with a real section and we show the sharpness of this bound. Furthermore, all possible values for the Betti numbers of such a surface are realized.

Mathematics Subject Classification (2000): 14P25, 14J27.

Keywords and Phrases: surface elliptique, nombre de Betti, surface algébrique réelle.

Full text, 9p.: dvi 54k, ps.gz 165k, pdf 200k.


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