Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Burek, Dominik"'
Autor:
Burek, Dominik
We give new relations between geometric invariants of $K3$ surfaces with purely non-symplectic automorphisms of order 4 and 6. Our approach is based on a comparison of two methods of computation of formulas for the Euler characteristic of higher dime
Externí odkaz:
http://arxiv.org/abs/2312.07253
Autor:
Burek, Dominik
We compute Hodge numbers and zeta function of a Kummer Calabi-Yau 3-folds introduced by M. Andreatta and J. Wi\'sniewski in arXiv:0804.4611 and investigated by M. Donten-Bury in arXiv:0812.3758.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2112.03970
Autor:
Burek, Dominik
We construct a series of examples of Calabi-Yau manifolds in an arbitrary dimension and compute the main invariants. In particular, we give higher dimensional generalization of Borcea-Voisin Calabi-Yau threefolds. We give a method to compute a local
Externí odkaz:
http://arxiv.org/abs/2107.04104
Autor:
Burek, Dominik
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 numbers of varieties obtained from that construction. We shall generalize
Externí odkaz:
http://arxiv.org/abs/1810.11084
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Burek, Dominik, Żmija, Błażej
A composite positive integer $n$ has the Lehmer property if $\phi(n)$ divides $n-1,$ where $\phi$ is an Euler totient function. In this note we shall prove that if $n$ has the Lehmer property, then $n\leq 2^{2^{K}}-2^{2^{K-1}}$, where $K$ is the numb
Externí odkaz:
http://arxiv.org/abs/1806.11280
Autor:
Burek, Dominik
We construct examples of modular rigid Calabi--Yau threefolds, which give a realization of some new weight 4 cusp forms.
Externí odkaz:
http://arxiv.org/abs/1705.04059
Autor:
Burek, Dominik
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 and the orbifold Euler characteristic.
Externí odkaz:
http://arxiv.org/abs/1702.04913
Autor:
Burek, Dominik
Publikováno v:
Manuscripta Mathematica; Jul2024, Vol. 174 Issue 3/4, p703-730, 28p
Autor:
Burek, Dominik
Publikováno v:
Communications in Mathematical Physics; Apr2024, Vol. 405 Issue 4, p1-24, 24p