1 citations · 1 across the 4 of their papers we have counts for
6 papers
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…
Applications of the fibration method for zero-cycles to the Brauer-Manin obstruction to the existence of zero-cycles on certain varieties
Evis Ieronymou
We study the Brauer-Manin obstruction to the existence of zero-cycles of degree on certain classes of varieties over number fields. We generalise existing results in the litera…
Brauer-Manin obstruction for zero-cycles on certain varieties
Evis Ieronymou
We investigate the question of whether the existence of a family of local zero-cycles of degree orthogonal to the Brauer group implies the non-emptiness of the Brauer-Manin set…
Evaluation of Brauer elements over local fields
Evis Ieronymou
We study the evaluation maps given by elements of the Brauer group of varieties over local fields. We show constancy of the aforementioned maps in several interesting cases.
The Brauer-Manin obstruction for zero-cycles on K3 surfaces
Evis Ieronymou
We study local-global principles for zero-cycles on K3 surfaces defined over number fields. We follow an idea of Liang to use the trivial fibration over the projective line.
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…