3 papers
math.AG2020
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…
math.AG2018
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…
math.AG2018
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…