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Brauer-Severi schemes of finitely generated algebras

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Abstract

In this paper we characterize the Brauer-Severi scheme of a fixed degree (as defined by M. van den Bergh) of a finitely generated algebra over a commutative ring as the Proj of a graded commutative ring.

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References

  1. S. A. Amitsur,Embeddings in matrix rings, Pacific Journal of Mathematics,36 (1971), 21–29.

    MATH  MathSciNet  Google Scholar 

  2. R. Hartshorne,Algebraic Geometry, Springer-Verlag, New York-Heidelberg-Berlin, 1977.

    MATH  Google Scholar 

  3. T. Hungerford,Algebra, Springer-Verlag, New York-Heidelberg-Berlin, 1974.

    MATH  Google Scholar 

  4. J. Jantzen,Representations of Algebraic Groups, Academic Press, Orlando, 1987.

    MATH  Google Scholar 

  5. J. Milne,Étale Cohomology, Princeton University Press, Princeton, 1980.

    MATH  Google Scholar 

  6. J. Rotman,An Introduction to Homological Algebra, Academic Press, San Diego, 1979.

    MATH  Google Scholar 

  7. D. J. Saltman,Azumaya Algebras, Unpublished Notes.

  8. G. Seelinger,A description of the Brauer-Severi schemes of trace rings of generic matrices, Journal of Algebra184 (1996), 852–880.

    Article  MATH  MathSciNet  Google Scholar 

  9. M. van den Bergh,The Brauer-Severi scheme of the trace ring of generic matrices, in PitProspectives in Ring Theory (L. Le Bruyn and F. van Oystaeyen, eds.), Kluwer, Dordrecht, 1988.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA

    George F. Seelinger

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  1. George F. Seelinger
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Correspondence to George F. Seelinger.

Additional information

The author is grateful for support under NSA grant MSPF-95Y-109.

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Seelinger, G.F. Brauer-Severi schemes of finitely generated algebras. Isr. J. Math. 111, 321–337 (1999). https://doi.org/10.1007/BF02810690

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  • DOI: https://doi.org/10.1007/BF02810690

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