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math.AG2026
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…
math.AG2025
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…
math.AG2016★ 7 cited
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…