On K3 fibred Calabi–Yau threefolds in weighted scrolls

Journal article

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, extending results of Mullet. We also study projective degenerations, revisiting an example due to Gross and Ruan. Finally we briefly discuss the general question of embedding a projective fibration into a weighted scroll.Comment: 13 pages, some references adde

Authors: Mboya, G; Szendrői, B

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Rendiconti del Circolo Matematico di Palermo Series 2
• Volume: 73
• Issue: 2
• Pages: 621-635
• Publication date: 2023-07-26
• DOI: 10.1007/s12215-023-00933-0
• EISSN: 1973-4409
• ISSN: 0009-725X
• Language: English
• Keywords: Scroll; Fibration; Homotopy; Calabi–Yau manifold; Pure mathematics; Philosophy; Fibered knot; Mathematics; Algebra over a field