Skip to main content

Brauer-Severi varieties

  • Conference paper
  • First Online:
Brauer Groups in Ring Theory and Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 917))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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. S.A. Amitsur, Genetic splitting fields of central simple algebras, Ann. of Math. 62, pp. 8–43 (1955).

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Bloch, Torsion Algebraic Cycles, K2 and Brauer Groups of Function Fields, in: Groupe de Brauer, LNM 844, Springer Verlag, Berlin, pp. 75–102 (1981).

    Chapter  Google Scholar 

  3. F. Châtelet, Variations sur un thème de H. Poincaré, Ann. Sci. E.N.S. 61, pp. 249–300 (1944).

    MATH  Google Scholar 

  4. F. Châtelet. Géométrie diophantienne et théorie des algèbres, Sém. Dubreil, exp. 17 (1954–1955).

    Google Scholar 

  5. A. Grothendieck, Le Groupe de Brauer I,II, III, in: Dix exposés sur la cohomologie des schémas, pp. 46–188, North Holland, Amsterdam (1968).

    Google Scholar 

  6. R. Hartshorne, Algebraic Geometry, Springer Verlag, Berlin and New York (1977).

    Book  MATH  Google Scholar 

  7. M. Noether, Rational le Ausführung der Operationen in der Theorie der algebraischen Funktionen, Math. Ann. 23, pp. 311–358 (1884).

    Article  MathSciNet  Google Scholar 

  8. O.T. O'Meara, Introduction to quadratic forms, Springer Verlag, Berlin and New York (1963).

    Book  MATH  Google Scholar 

  9. H. Poincaré, Sur les propriétés arithmétiques des courbes algébriques, J. Math. Pures Appl. 5ème série, 7, 161–234 (1901).

    MATH  Google Scholar 

Download references

Authors

Editor information

Freddy M. J. van Oystaeyen Alain H. M. J. Verschoren

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Artin, M. (1982). Brauer-Severi varieties. In: van Oystaeyen, F.M.J., Verschoren, A.H.M.J. (eds) Brauer Groups in Ring Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092235

Download citation

  • DOI: https://doi.org/10.1007/BFb0092235

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11216-7

  • Online ISBN: 978-3-540-39057-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics