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math.AG2024
An example of potential density on of a K3 surface
Ekaterina Amerik, Mikhail Lozhkin
We give a new example of potential density of rational points on the third punctual Hilbert scheme of a K3 surface.
math.AG2024
Apollonian carpets and the boundary of the Kahler cone of a hyperkahler manifold
Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky
The ample cone of a compact Kahler -manifold is the intersection of its Kahler cone and the real subspace generated by integer (1,1)-classes. Its isotropic boundary is the s…