20 citations · 93 across the 28 of their papers we have counts for
37 papers
The Last Picard Rank 1 Double--Mirror Calabi--Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
We consider a certain pair of families of Picard rank 1 Calabi--Yau threefolds, that have appeared earlier in mathematical literature in unrelated contexts: the family $\mathcal{X}…
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…
Window categories for a simple -fold flop of Grassmannian type
Will Donovan, Wahei Hara, Michał 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}(…
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…