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math.AG2026
A Finiteness Theorem for Quartic K3-Fibred Calabi--Yau Threefolds in Scrolls
Geoffrey Mboya
We study a restricted form of Gross's finiteness problem for algebraic minimal Calabi--Yau threefolds: those fibred by quartic K3 surfaces and realised as anticanonical hypersurfac…
math.AG2023
CICY3 Families of Nonsingular Codimension two K3
Geoffrey Mboya
We conduct a systematic search of codimension 2 Complete Intersection Calabi--Yau threefolds (CICY3) in rank 2 toric ambient spaces and fibered by complete intersection of a quadri…
math.AG2022
On K3 fibred Calabi-Yau threefolds in weighted scrolls
Geoffrey Mboya, Balazs Szendroi
The aim of this paper is to classify mildly singular Calabi-Yau threefolds fibred in low-degree weighted K3 surfaces and embedded as anticanonical hypersurfaces in weighted scrolls…