51 citations · 235 across the 34 of their papers we have counts for
5 papers · 1 filter
Geometry and arithmetic of certain log K3 surfaces
Yonatan Harpaz
Let be a field of characteristic . In this paper we describe a classification of smooth log K3 surfaces over whose geometric Picard group is trivial and which can be…
Integral points on conic log K3 surfaces
Yonatan Harpaz
Adapting a powerful method of Swinnerton-Dyer, we give explicit sufficient conditions for the existence of integral points on certain schemes which are fibered into affine conics.…
Pro-categories in homotopy theory
Ilan Barnea, Yonatan Harpaz, Geoffroy Horel
The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the -ca…
An integral model structure and truncation theory for coherent group actions
Yonatan Harpaz, Matan Prasma
In this work we study the homotopy theory of coherent group actions from a global point of view, where we allow both the group and the space acted upon to vary. Using the model of…
Hasse principle for generalised Kummer varieties
Yonatan Harpaz, Alexei N. Skorobogatov
The existence of rational points on Kummer varieties associated to 2-coverings of abelian varieties over number fields can sometimes be proved through the variation of the Selmer g…