5 papers · 1 filter
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…
Fixed-locus relations and purely non-symplectic automorphisms of order 6 on K3 surfaces
Dominik Burek
We study relations between invariants of the fixed loci of purely non-symplectic automorphisms of surfaces. We obtain these relations by comparing the stringy Euler characteri…
Higher dimensional Calabi-Yau manifolds of Kummer type
Dominik Burek
Based on Cynk-Hulek method we construct complex Calabi-Yau varieties of arbitrary dimensions using elliptic curves with automorphism of order 6. Also we give formulas for Hodge num…
Rigid realizations of modular forms in Calabi--Yau threefolds
Dominik Burek
We construct examples of modular rigid Calabi--Yau threefolds, which give a realization of some new weight 4 cusp forms.
Hodge Numbers of Generalised Borcea-Voisin Threefolds
Dominik Burek
We shall reproof formulas for the Hodge numbers of Calabi-Yau threefolds of Borcea-Voisin type constructed by A. Cattaneo and A. Garbagnati, using the orbifold cohomology formula a…