41 citations · 45 across the 7 of their papers we have counts for
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math.NT2022
Odd torsion Brauer elements and arithmetic of diagonal quartic surfaces over number fields
Evis Ieronymou
We use recent advances in the local evaluation of Brauer elements to study the role played by {\it odd} torsion elements of the Brauer group in the arithmetic of diagonal quartic s…
math.NT2013
Odd order Brauer--Manin obstruction on diagonal quartic surfaces
Evis Ieronymou, Alexei N. Skorobogatov
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 o…
math.NT2009★ 1 cited
Diagonal quartic surfaces and transcendental elements of the Brauer group
Evis Ieronymou
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 investig…