32 citations · 102 across the 31 of their papers we have counts for
32 papers · 1 filter
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…
On algebraically coisotropic submanifolds of holomorphic symplectic manifolds
Ekaterina Amerik, Frédéric Campana
We investigate algebraically coisotropic submanifolds in a holomorphic symplectic projective manifold . Motivated by our results in the hypersurface case, we raise the follo…