articleChoice Reviews OnlineJan 21, 2014Closed access

Real algebraic geometry

BJBochnak, Jacek 1943-CMCoste, Michel 1950-RMRoy, Marie-Françoise 1950-
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Abstract

1. Ordered Fields, Real Closed Fields.- 2. Semi-algebraic Sets.- 3. Real Algebraic Varieties.- 4. Real Algebra.- 5. The Tarski-Seidenberg Principle as a Transfer Tool.- 6. Hilbert's 17th Problem. Quadratic Forms.- 7. Real Spectrum.- 8. Nash Functions.- 9. Stratifications.- 10. Real Places.- 11. Topology of Real Algebraic Varieties.- 12. Algebraic Vector Bundles.- 13. Polynomial or Regular Mappings with Values in Spheres.- 14. Algebraic Models of C? Manifolds.- 15. Witt Rings in Real Algebraic Geometry.- Index of Notation.

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1,326
total citations
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107.48
Percentile
100%
References
26
Citations per year

Authors

3
  • BJ
    Bochnak, Jacek 1943-Corresponding
  • CM
    Coste, Michel 1950-
  • RM
    Roy, Marie-Françoise 1950-

Topics & keywords

Topics
Keywords
  • Geometry
  • Mathematics
  • Algebraic surface
  • Derived algebraic geometry
  • Function field of an algebraic variety
  • Real algebraic geometry
  • Algebraic number
  • Mathematical analysis
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