Showing 2018Show all
2 papers · 1 filter
math.AG2018
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…
math.NT2018
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
Dominik Burek, Błażej Żmija
A composite positive integer has the Lehmer property if divides where is an Euler totient function. In this note we shall prove that if has the Lehmer pro…