16 citations · 48 across the 21 of their papers we have counts for
26 papers
Crepant resolutions of fiber products and Kummer fibrations of rational elliptic surfaces with non-reduced fibers
Dominik Burek, Sławomir Cynk
Let and be rational elliptic surfaces with section over an algebraically closed field of characteristic zero, and let . We determine the…
Classification of double octic Calabi-Yau threefolds defined by an arrangement of eight planes II
Sławomir Cynk, Beata Kocel-Cynk
We present a complete classification of all arrangements of eight planes in projective threespace that give rise to double octic Calabi-Yau threefolds. Building on earlier work, we…
Elliptic and K3 fibrations on double octic Calabi-Yau threefolds
Sławomir Cynk, Beata Kocel-Cynk
We study fibrations by elliptic curves and K3 surfaces of double octic Calabi-Yau threefolds determined by singular lines and points of multiplicity at least 4 of the defining octi…
Periods of singular double octic Calabi-Yau threefolds and modular forms
Tymoteusz Chmiel, Sławomir Cynk
By the modularity theorem every rigid Calabi-Yau threefold has associated modular form such that the equality of -functions holds. In this case period in…
A special Calabi-Yau degeneration with trivial monodromy
Slawomir Cynk, Duco van Straten
A well-known theorem of Kulikov, Persson and Pinkham states that a degeneration of a family of K3-surfaces with trivial monodromy can be completed to a smooth family. We give a sim…
Hilbert modularity of some double octic Calabi--Yau threefolds
Slawomir Cynk, Matthias Schütt, Duco van Straten
We exhibit three double octic Calabi--Yau threefolds over the certain quadratic fields and prove their modularity. The non-rigid threefold has two conjugate Hilbert modular forms o…