3 papers
math.LO2026
A simplified proof of the o-minimal Whitney Extension Theorem
Beata Kocel-Cynk, WiesÅaw PawÅucki, Anna Valette
We give a proof of the o-minimal version of the Whitney Extension Theorem simplified as compared to the original ones. A new simplifying ingredient is a definable variant of Urysoh…
math.AG2026
Classification of double octic Calabi-Yau threefolds defined by an arrangement of eight planes II
SÅawomir 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…
math.AG2025
Elliptic and K3 fibrations on double octic Calabi-Yau threefolds
SÅawomir 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…