A special Calabi–Yau degeneration with trivial monodromy

DOI10.1142/S0219199721500553zbMath1498.14020arXiv1812.01622OpenAlexW3153840300MaRDI QIDQ5043833

Duco van Straten, Sławomir Cynk

Publication date: 6 October 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01622

zbMATH Keywords

monodromyCalabi-Yau threefolds\(K3\) surfacesemi-stable reductionKulikov-Persson-Pinkham theorem

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items

Higher regularity for singular Kähler-Einstein metrics

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A degenerating family of quintic surfaces with trivial monodromy
• Topological triviality of various analytic families
• Dégénérations de Lefschetz et variations de structures de Hodge. (Lefschetz degenerations and variations of Hodge structure)
• Degeneration of surfaces with trivial canonical bundle
• Limits of Hodge structures
• On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds
• Variation of Hodge structure: The singularities of the period mapping
• Picard-Fuchs operators for octic arrangements. I: The case of orphans
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Modular Calabi-Yau threefolds
• DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
• Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes
• A Néron–Ogg–Shafarevich criterion for K3 surfaces
• Good Reduction of K3 Surfaces
• Mixed Hodge Structures
• On analytic surfaces with double points