Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Ieronymou, Evis"
Now showing items 1-8 of 8
-
Article
The Brauer–Manin Obstruction for Zero-Cycles on $K3$ Surfaces
Ieronymou, Evis (2019)Abstract. 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
-
Article
Congruences involving sums of ratios of Lucas sequences
Ieronymou, Evis (2014)Given a pair (Ut) and (Vt) of Lucas sequences, we establish various congruences involving sums of ratios Vt/Ut. More precisely, let p be a prime divisor of the positive integer m. We establish congruences, modulo powers ...
-
Article
Corrigendum to “Odd order Brauer–Manin obstruction on diagonal quartic surfaces” [Adv. Math. 270 (2015) 181–205] (S0001870814003806) (10.1016/j.aim.2014.11.004)
Ieronymou, Evis; Skorobogatov, A. N. (2017)We correct a mistake in our paper “Odd order Brauer–Manin obstruction on diagonal quartic surfaces” published in Ieronymou and Skorobogatov (2015) [2]. © 2016 Elsevier Inc.
-
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 ...
-
Article
On the Brauer group of diagonal quartic surfaces
Ieronymou, Evis; Skorobogatov, A. N.; Zarhin, Y. G. (2011)We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over to be algebraic. We also give an upper bound for the order of the quotient of the Brauer group of D by the image of the Brauer ...
-
Doctoral Thesis
Transcendental elements of the Brauer group of diagonal quartic surfaces
Ieronymou, Evis (Department of Mathematics, Imperial College London, 2008)
-
Book
Transcendental elements of the Brauer group of diagonal quartic surfaces [electronic resource]
Ieronymou, Evis (2008)