41 citations · 45 across the 7 of their papers we have counts for
5 papers · 1 filter
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.
On the Brauer group of diagonal quartic surfaces
Evis Ieronymou, Alexei N. Skorobogatov, Yuri G. Zarhin
We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over Q to be algebraic. We also give an upper bound for the order of the quotient of the…