12 citations · 23 across the 6 of their papers we have counts for
7 papers
Moduli of K3 families over and complex-hyperkähler metrics induced by deformed twistor cycles
Daniel Greb, Martin Schwald
We answer a question posed independently by Fels-Huckleberry-Wolf and Looijenga concerning the geometric meaning of small deformations of twistor cycles in the K3 period domain. Th…
On the definition of irreducible holomorphic symplectic manifolds and their singular analogs
Martin Schwald
In the definition of irreducible holomorphic symplectic manifolds the condition of being simply connected can be replaced by vanishing irregularity. We discuss finite quotients X o…
The Kodaira problem for Kähler spaces with vanishing first Chern class
Patrick Graf, Martin Schwald
Let be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that admits arbitrarily small deformations that are projective varieties i…
Unobstructedness of hyperkähler twistor spaces
Ana-Maria Brecan, Tim Kirschner, Martin Schwald
A family of irreducible holomorphic symplectic (ihs) manifolds over the complex projective line has unobstructed deformations if its period map is an embedding. This applies in par…
On the Kodaira problem for uniruled Kähler spaces
Patrick Graf, Martin Schwald
We discuss the Kodaira problem for uniruled Kähler spaces. Building on a construction due to Voisin, we give an example of a uniruled Kähler space such that every run of the $K…
Fujiki relations and fibrations of irreducible symplectic varieties
Martin Schwald
This paper concerns different types of singular complex projective varieties generalizing irreducible symplectic manifolds. We deduce from known results that the generalized Beauvi…