• Non-surjectivity of the Clifford invariant map

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0049-0056

    • Keywords

       

      Quadratic forms; Clifford invariant; Brauer group; canonical class

    • Abstract

       

      The question whether there exists a commutative ringA for which there is an element in the 2-torsion of the Brauer group not represented by a Clifford algebra was raised by Alex Hahn. Such an example is constructed in this paper and is arrived at using certain results of Parimala-Sridharan and Parimala-Scharlau which are also reviewed here.

    • Author Affiliations

       

      R Parimala1 R Sridharan1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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