Skip to main content

Defining algebraic intersections

Part of the Lecture Notes in Mathematics book series (LNM,volume 687)

Keywords

  • Vector Bundle
  • Irreducible Component
  • Chern Class
  • Intersection Product
  • Proper Intersection

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. G. de Rham, Sur l'analysis situs des variétés à n dimensions, These faculté des Science de Paris, Gauthier-Villars, Paris, (1931).

    Google Scholar 

  2. W. Fulton and R. MacPherson, Intersecting cycles on an algebraic variety, Real and Complex Singularities Oslo, 1976, Sijthoff and Noordhoff, 179–197.

    Google Scholar 

  3. W. Fulton, Rational equivalence for singular varieties, Publ. Math. I.H.E.S. no. 45 (1975), 147–165.

    Google Scholar 

  4. W. Fulton, to appear.

    Google Scholar 

  5. H. Gillet, thesis, Harvard University, 1978.

    Google Scholar 

  6. V. Guillemin and S. Sternberg, Geometric Asymptotics, Math. Surveys no. 14, Amer. Math. Soc. 1977, p. 328.

    Google Scholar 

  7. R. M. Hardt, Slicing and intersection theory for chains associated with real analytic varieties, Acta Mathematica 129(1972) 75–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. S. Kleiman, Chasles's enumerative theory of conics. A historical introduction. Aarhus University Preprint Series 1975/76 No. 32, Aarhus Denmark, to appear in an M.A.A. volume on algebraic geometry.

    Google Scholar 

  9. S. Lefschetz, Intersections and transformations of complexes and manifolds, Trans. A.M.S. 28(1926), 1–49.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H. Poincaré, Oeuvres, Tome VI, Gauthier-Villars, p. 218.

    Google Scholar 

  11. P. Samuel, Sur l'historie du quinzieme probleme de Hilbert, Gazette des Mathematiciens, Oct. 1974, p. 22–32.

    Google Scholar 

  12. P. Samuel, La notion de multiplicité en algèbre et en géométrie algébrique, J. Math. pures appl., 30, 1951, p. 159–274.

    MathSciNet  MATH  Google Scholar 

  13. F. Severi, Über die Grundlagen der Algebraischen Geometrie, Abh. math. Sem. Hamburg Univ. vol 9, 1933, p. 335–364.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. D. Sullivan, Infinitesimal computations in topology, Publ. Math. I.H.E.S. 47, 1977.

    Google Scholar 

  15. I. Vainsencher, Conics in characteristic 2, preprint, to appear in Compositio Math.

    Google Scholar 

  16. B. L. Van der Waerden, The theory of equivalence systems of cycles on a variety, Symposia Mathematica V, Istituto Nazionale di Alta Mathematica (1971), 255–262.

    Google Scholar 

  17. J.-L. Verdier, Le théorème de Riemann-Roch pour les intersections complètes, Astérisque 36–37 (1976), 189–228.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Fulton, W., MacPherson, R. (1978). Defining algebraic intersections. In: Olson, L.D. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062926

Download citation

  • DOI: https://doi.org/10.1007/BFb0062926

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08954-4

  • Online ISBN: 978-3-540-35688-2

  • eBook Packages: Springer Book Archive