20 citations · 102 across the 30 of their papers we have counts for
32 papers
Hyperkahler manifolds from the Tits-Freudenthal square
Atanas Iliev, Laurent Manivel
We suggest a way to associate to each Lie algebra of type G2, D4, F4, E6, E7, E8 a family of polarized hyperkahler fourfolds, constructed as parametrizing certain families of cycle…
Hyperkähler fourfolds and Kummer surfaces
Atanas Iliev, Grzegorz Kapustka, Michał Kapustka +1
We show that a Hilbert scheme of conics on a Fano fourfold double cover of ramified along a divisor of bidegree admits a -fib…
EPW Cubes
Atanas Iliev, Grzegorz Kapustka, Michal Kapustka +1
We construct a new 20-dimensional family of projective 6-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the H…
EPW sextics and Hilbert squares of K3 surfaces
Atanas Iliev, Carlo Madonna
We prove that the Hilbert square of a very general primitively polarized K3 surface S of degree , is birational to a double Eisenbud-P…
Special prime Fano fourfolds of degree 10 and index 2
Olivier Debarre, Atanas Iliev, Laurent Manivel
Mukai proved that most prime Fano fourfolds of degree 10 and index 2 are contained in a Grassmannian G(2,5). They are all unirational and some are rational, as remarked by Roth in…
On the PSL(2,19)-invariant cubic sevenfold
Atanas Iliev, Xavier Roulleau
It has been proved by Adler that there exists a unique cubic hypersurface X in P^8 which is invariant under the action of the simple group PSL(2,19). In the present note we study t…