32 citations · 94 across the 23 of their papers we have counts for
30 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 l…
A symplectic fourfold
Maria Donten-Bury, Grzegorz Kapustka, Benedetta Piroddi +1
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, we…
Variety of apolar schemes to powers of quadrics
Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad
We study the variety (resp. ), a Grassmannian compactification of the variety of finite schemes of length apolar to …
Even nodal surfaces of K3 type
Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka +4
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe f…
Constructions of derived equivalent hyper-Kähler fourfolds
Grzegorz Kapustka, Michał 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 la…
EPW sextics vs EPW cubes
Grzegorz Kapustka, Michal Kapustka, Giovanni Mongardi
We study a correspondence between double EPW cubes and double EPW sextics, two families of polarized hyper-Kähler manifolds related to Gushel--Mukai fourfolds. We infer relations b…