Browsing by Subject "Brauer group"

Now showing items 1-2 of 2

    • Article  

      Diagonal quartic surfaces and transcendental elements of the Brauer group 

      Ieronymou, Evis (2010)
      We exhibit central simple algebras over the function field of a diagonal quartic surface over the complex numbers that represent the 2-torsion part of its Brauer group. We investigate whether the 2-primary part of the ...
    • Article  

      Odd order Brauer-Manin obstruction on diagonal quartic surfaces 

      Ieronymou, Evis; Skorobogatov, A. N. (2015)
      We determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation ...