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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.AG2022
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…