4 papers
Generalized Nikulin surfaces and irreducible symplectic fourfolds
Chiara Camere, Alice Garbagnati, Grzegorz Kapustka +1
A Nikulin surface is the minimal resolution of the quotient of a surface by a symplectic involution . Equivalently, it is the -dimensional component of the fixed…
Window categories for a simple -fold flop of Grassmannian type
Will Donovan, Wahei Hara, MichaÅ Kapustka +1
The local simple -fold flop of Grassmannian type is a birational transformation between total spaces of vector bundles on the Grassmannians and $\mathrm{Gr}(…
Constructions of derived equivalent hyper-Kähler fourfolds
Grzegorz Kapustka, MichaÅ Kapustka
We study twisted derived equivalences of hyper-Kähler fourfolds. We describe when two hyper-Kähler fourfolds of -type of Picard rank with isomorphic transcendental…
On the Boucksom-Zariski decomposition for irreducible symplectic varieties and bounded negativity
MichaÅ Kapustka, Giovanni Mongardi, Gianluca Pacienza +1
Zariski decomposition plays an important role in the theory of algebraic surfaces due to many applications. For irreducible symplectic manifolds Boucksom provided a characterizatio…