Skip to main content

Local structure of maximal orders on surfaces

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

Keywords

  • Exact Sequence
  • Isomorphism Class
  • Left Ideal
  • Maximal Order
  • Division Ring

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
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.

References

  1. M. Artin, Algebraic approximation of structures over complete local rings, Pub. Math. Inst. Hautes Etudes Sci. No. 36 (1969) 23–58.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. Artin and D. Mumford, Some elementary examples of unirational varieties which are not rational, Proc. London Math. Soc. 3 (1972) 75–95.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. Auslander and O. Goldman, Maximal orders, Trans. Amer. Math. Soc. 97 (1960) 1–24.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960) 367–409.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M. Deuring, Algebren, Springer, Berlin 1935.

    CrossRef  MATH  Google Scholar 

  6. A. Grothendieck, A general theory of fibre spaces with structure sheaf, Univ. Kansas Report No. 4, 1955.

    Google Scholar 

  7. A. Grothendieck and J. Diendonné, Eléments de géométrie algébrique IV (Seconde Partie), Pub. Math. Inst. Hautes Etudes Sci. No. 24 (1965).

    Google Scholar 

  8. A. Grothendieck, Le groupe de Brauer I-III Dix exposés sur la cohomologie des schémas, North Holland, Amsterdam, 1968.

    Google Scholar 

  9. J.E. Humphreys, Linear algebraic groups, Springer, New York 1975.

    CrossRef  MATH  Google Scholar 

  10. J.S. Milne, Étale cohomology, Princeton Univ., Princeton 1980.

    MATH  Google Scholar 

  11. J.-P. Serre, Corps Locaux, Hermann, Paris, 1962.

    MATH  Google Scholar 

  12. J.-P. Serre, Cohomologie galoisienne, Lec. Notes in Math. No. 5, Springer, Berlin, 1965.

    CrossRef  MATH  Google Scholar 

  13. J.-P. Serre, Local class field theory, in Algebraic number theory, J.W.S. Cassels and A. Fr″ohlich editors. Academic Press, London 1967.

    Google Scholar 

  14. I. Reiner, Maximal Orders, Academic Press, London 1975.

    MATH  Google Scholar 

  15. G.J. Janusz, Tensor products of orders, J. London Math. Soc. ser 2, 20 (1979) 186–192.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Artin, M. (1982). Local structure of maximal orders on surfaces. 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/BFb0092233

Download citation

  • DOI: https://doi.org/10.1007/BFb0092233

  • 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