Add to ORKGGiven a general K3 surface S of degree 18, lattice theoretic considerations allow to predict the existence of an anti-symplectic birational involution of the Hilbert cube S^[3]. We describe this involution in terms of the Mukai model of S, with the help of the famous transitive action of the exceptional group G_2(R) on the six-dimensional sphere. We make a connection with Homological Projective Duality by showing that the indeterminacy locus of the involution is birational to a P^2-bundle over the dual K3 surface of degree two
International audienceLet X be a holomorphic symplectic manifold, of dimension divisible by 4, and s...
Let be a K3 surface. Any birational map 99K extends to an automorphism; this follows from the uni...
We discuss the Picard group of the moduli space K_g of quasi-polarized K3 surfaces of genus g≤12 and...
Given a general K3 surface S of degree 18, lattice theoretic considerations allow to predict the exi...
We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfa...
A K3 surface with an ample divisor of self-intersection 2 is a double cover of the plane branched ov...
A K3 surface with an ample divisor of self-intersection 2 is a double cover of the plane branched ov...
Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let...
We investigate the interplay between the moduli spaces of ample (2)-polarized IHS manifolds of type ...
Following Bayer and Macrì, we study the birational geometry of singular moduli spaces M of sheaves o...
In this note, we study the action of finite groups of symplectic automorphisms on K3 surfaces which ...
In this paper we give a classification of symplectic birational involutions of manifolds of $OG10$-t...
23 pages, to appear in Proceedings of the Edinburgh Math. Soc., comments welcome !International audi...
As a generalisation of Arnold's strange duality for unimodal singularities, Ebeling and Takahashi in...
We study the Hilbert scheme of Palatini threefolds X in the projective space of dimension five. We p...
International audienceLet X be a holomorphic symplectic manifold, of dimension divisible by 4, and s...
Let be a K3 surface. Any birational map 99K extends to an automorphism; this follows from the uni...
We discuss the Picard group of the moduli space K_g of quasi-polarized K3 surfaces of genus g≤12 and...
Given a general K3 surface S of degree 18, lattice theoretic considerations allow to predict the exi...
We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfa...
A K3 surface with an ample divisor of self-intersection 2 is a double cover of the plane branched ov...
A K3 surface with an ample divisor of self-intersection 2 is a double cover of the plane branched ov...
Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let...
We investigate the interplay between the moduli spaces of ample (2)-polarized IHS manifolds of type ...
Following Bayer and Macrì, we study the birational geometry of singular moduli spaces M of sheaves o...
In this note, we study the action of finite groups of symplectic automorphisms on K3 surfaces which ...
In this paper we give a classification of symplectic birational involutions of manifolds of $OG10$-t...
23 pages, to appear in Proceedings of the Edinburgh Math. Soc., comments welcome !International audi...
As a generalisation of Arnold's strange duality for unimodal singularities, Ebeling and Takahashi in...
We study the Hilbert scheme of Palatini threefolds X in the projective space of dimension five. We p...
International audienceLet X be a holomorphic symplectic manifold, of dimension divisible by 4, and s...
Let be a K3 surface. Any birational map 99K extends to an automorphism; this follows from the uni...
We discuss the Picard group of the moduli space K_g of quasi-polarized K3 surfaces of genus g≤12 and...