32 citations · 102 across the 31 of their papers we have counts for
35 papers
Reflective lattices and hyperkahler manifolds
Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky
Using the results of Nikulin and Vinberg on the groups of isometries generated by reflections, we construct a subvariety called the Nikulin-Vinberg locus in the moduli space of pol…
Birational geometry of hyperkahler manifolds and the Hu-Yau conjecture
Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky
Wierzba and Wisniewski proved that in dimension 4, every bimeromorphic map of hyperkahler manifolds is represented as a composition of Mukai flops. Hu and Yau conjectured that this…
Parabolic automorphisms of hyperk{ä}hler manifolds: Orbits and Betti maps
Ekaterina Amerik, Serge Cantat
We study parabolic automorphisms of irreducible holomorphically symplectic manifolds with a lagrangian fibration. Such automorphisms are (possibly up to taking a power) fiberwise t…
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.
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…
Finite translation orbits on double families of abelian varieties (with an appendix by E. Amerik)
Ekaterina Amerik, Paolo Dolce, Francesco Tropeano
We study two families of -dimensional abelian varieties, induced by distinct rational maps defined on a common variety and mapping to two bases $\overlin…