Geometriae Dedicata

, Volume 42, Issue 2, pp 155–161 | Cite as

Algebraic models defined over Q of differential manifolds

  • Edoardo Ballico
  • Alberto Tognoli
Article

Abstract

Here we prove that every compact differential manifold has a smooth algebraic model defined over Q. In dimension 2 we find an algebraic model (may be singular) defined over Q and birational over Q to the projective plane.

1980 Mathematics Subject Classifications (1985 Revision)

Primary 14G30 Secondary 57R12, 55N22, 14G05 

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References

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Edoardo Ballico
    • 1
  • Alberto Tognoli
    • 1
  1. 1.Dept. of MathematicsUniversità di TrentoPovoItaly

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