4 citations · 6 across the 6 of their papers we have counts for
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Enriques surfaces and an Apollonian packing in eight dimensions
Arthur Baragar
We call a packing of hyperspheres in dimensions an Apollonian sphere packing if the spheres intersect tangentially or not at all; they fill the -dimensional space; and every…
The Apollonian circle packing and ample cones for K3 surfaces
Arthur Baragar
In an earlier work, we gave an Apollonian-like pictorial representation for the ample cone for a class of K3 surfaces. This raises a natural question: Does the Apollonian packing i…
The Neron-Tate pairing and elliptic K3 surfaces
Arthur Baragar
In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the stru…
K3 surfaces, rational curves, and rational points
Arthur Baragar, David McKinnon
We prove that for any of a wide class of elliptic surfaces defined over a number field , if there is an algebraic point on that lies on only finitely many rational curve…
Canonical vector heights on K3 surfaces with Picard number three -- addendum
Arthur Baragar, Ronald van Luijk
In an earlier paper by the first author, an argument for the nonexistence of canonical vector heights on K3 surfaces of Picard number three was given, based on an explicit surface…