Some integral calculus based on Euler characteristic

  • O. Y. Viro
Part of the Lecture Notes in Mathematics book series (LNM, volume 1346)


Euler Characteristic Mixed Volume Compact Convex Subset Regular Neighbourhood Nonsingular Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Brylinski J.-L., Malgrange B., Verdier J.-L. Transformations de Fourier geometrique I.-C.R.Acad.Sci., Paris, Ser.I.Google Scholar
  2. 2.
    Burago Yu.D., Zalgaller V.A. Geometric inequalities.-Nauka, Leningrad, 1980.zbMATHGoogle Scholar
  3. 3.
    Chernavskii A.V. The impossibility of a strict two-fold continuous division of a homologous cube.-Dokl.Akad.Nauk SSSR, 1962, 144, 2, 286–289.MathSciNetGoogle Scholar
  4. 4.
    Groemer H. Minkowski addition and mixed volumes.-Geom. Dedicata, 1977, 6, 2, 141–163.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Klein F. Eine neue Relation zwischen den Singularitaten einer algebraischer Curve.-Math.Ann., 1876, 10, 199–210.MathSciNetCrossRefGoogle Scholar
  6. 6.
    MacRherson R. Chern classes of singular varieties.-Ann.Math., 1974, 100, 423–432.MathSciNetCrossRefGoogle Scholar
  7. 7.
    Rohlin V.A. Complex topological characteristics of real algebraic curves.-Usp.Mat.Nauk, 1978, 33, 5, 77–89.MathSciNetGoogle Scholar
  8. 8.
    Schuh F. Eine realiteitsveigeliyking voor bestaanbare en onbestaanbare vlakke krommen met hoogere singulariteiten. Koninkliyke Akad. van Wetenschappen te Amsterdam Verslag van de geivone Vergaderingen der Wis-en natuurkundige Afdeding, 1903–1904, 12,845–854.Google Scholar
  9. 9.
    Sharpe R.W. On the ovals of evendegree plane courves.-Mich. Math.J. 22:3 (1976), 285–288.MathSciNetCrossRefGoogle Scholar
  10. 10.
    Viro O.Y. Generalization of Klein’s formula and wave fronts.-Usp. Mat.NaukGoogle Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • O. Y. Viro
    • 1
  1. 1.Leningrad Branch of Mathematical Institute Acad. Sci. USSR (LOMI)Russia

Personalised recommendations