Skip to main content

Complete bilinear forms

  • Conference paper
  • First Online:
Algebraic Geometry Sundance 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1311))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. Bourbaki, “Algèbre I,” Chap. 1–3, Hermann, 1970.

    Google Scholar 

  2. ____, “Algèbre,” Chap. 10. Algèbre homologique, Masson, 1980.

    Google Scholar 

  3. C. DeConcini, and C. Procesi, Complete symmetric varieties, in “Invariant Theory,” Proceedings, Montecatini, ed. F. Gheradelli, Springer Lecture Notes, No. 996, 1983, pp. 1–44; II, Preprint, Fall 1983.

    Google Scholar 

  4. C. DeConcini, D. Eisenbud, and C. Procesi, Young Diagrams and Determinantal Varieties, Inventiones Math. 56 (1980), 129–165.

    Article  MathSciNet  MATH  Google Scholar 

  5. C. DeConcini, M. Goresky, R. MacPherson, and C. Procesi, ON THE GEOMETRY OF QUADRICS AND THEIR DEGENERATIONS, Preprint IHES/M/86/19.

    Google Scholar 

  6. S. Kleiman, Problem 15. Rigorous foundation of Schubert's enumerative calculus, in “Mathematical Developments arising from Hilbert Problems,” Proc. Sympos. in Pure Math. XXVIII, AMS, 1976, pp. 445–482.

    Google Scholar 

  7. S. Kleiman, CHASLES'S ENUMERATIVE THEORY OF CONICS: A HISTORICAL INTRODUCTION, in “STUDIES IN ALGEBRAIC GEOMETRY,” MAA Studies in Mathematics, vol. 20, ed. A. Seidenberg, 1980, pp. 117–138.

    Google Scholar 

  8. S. Kleiman and J. Landolfi, Geometry and deformation of special Schubert varieties, in “Algebraic geometry,” Proc. Oslo 1970, ed. F. Oort, Wolters-Noordhoff, 1972, pp. 97–124.

    Google Scholar 

  9. S. Kleiman and A. Thorup, INTERSECTION THEORY and ENUMERATIVE GEOMETRY. A Decade in Review, in “Proceedings of the AMS Summer Institute in Algebraic Geometry,” Bowdoin, 1985 (to appear).

    Google Scholar 

  10. D. Laksov, Notes on the evolution of complete correlations, in “Enumerative and Classical Algebraic Geometry,” Proceedings Nice 1981, ed. Le Barz and Hervier, Birkhäuser, Progress in Math. 24, 1982, pp. 107–132.

    Google Scholar 

  11. D. Laksov, Complete Quadrics and Linear Maps, in “Proceedings of the AMS Summer Institute in Algebraic Geometry,” Bowdoin, 1985 (to appear).

    Google Scholar 

  12. D. Laksov, “COMPLETE LINEAR MAPS I, THE GEOMETRY,” Preprint Royal Institute of Technology, Stockholm 70, Sweden, Fall 1986.

    Google Scholar 

  13. T. Muir, “A Treatise on the Theory of Determinants,” revised and enlarged by W. H. Metzler, Longmans, Green and Co., 1933; corrected and republished by Dover.

    Google Scholar 

  14. J. Tyrrell, Complete quadrics and collineations in S n, Mathematica 3 (1956), 69–79.

    MathSciNet  MATH  Google Scholar 

  15. T. Uzava., “Equivariant compactifications of algebraic symmetric spaces,” Preprint, Fall 1985.

    Google Scholar 

  16. I. Vainsencher, Schubert calculus for complete quadrics, in “Enumerative and Classical Algebraic Geometry,” Proceedings Nice 1981, ed. Le Barz and Hervier, Birkhäuser, Progress in Math. 24, 1982, pp. 199–235.

    MathSciNet  MATH  Google Scholar 

  17. I. Vainsencher, Complete Collineations and Blowing up Determinantal Ideals, Math. Ann. 267 (1984), 417–432.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Thorup, A., Kleiman, S. (1988). Complete bilinear forms. In: Algebraic Geometry Sundance 1986. Lecture Notes in Mathematics, vol 1311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082918

Download citation

  • DOI: https://doi.org/10.1007/BFb0082918

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19236-7

  • Online ISBN: 978-3-540-39157-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics