7 citations · 7 across the 5 of their papers we have counts for
5 papers
A simplified proof of the o-minimal Whitney Extension Theorem
Beata Kocel-Cynk, Wiesław Pawłucki, 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…
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…
Semialgebraic Calderon-Zygmund theorem on regularization of the distance function
Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette
We prove that, for any closed semialgebraic subset of and for any positive integer , there exists a Nash function $f:\mathbb{R}^n\setminus W\longrightarrow (0…
Classification of double octic Calabi-Yau threefolds
Slawomir Cynk, Beata Kocel-Cynk
In the present paper we propose a combinatorial approach to study the so called double octic Clabi--Yau threefolds. We use this description to give a complete classification of dou…