Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes

DOI10.1142/S0219199718500827zbMath1437.14044arXiv1612.04364MaRDI QIDQ5216649

Sławomir Cynk, Beata Kocel-Cynk

Publication date: 18 February 2020

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

Full work available at URL: https://arxiv.org/abs/1612.04364

zbMATH Keywords

automorphismsCalabi-Yau threefolddouble octichyperplane arragementKummer fibrations

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (6)

A special Calabi–Yau degeneration with trivial monodromy ⋮ On the Chow ring of some special Calabi–Yau varieties ⋮ Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point ⋮ Periods of singular double octic Calabi–Yau threefolds and modular forms ⋮ Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator ⋮ Calabi-Yau 3-folds of Picard number 2 with hypersurface Cox rings

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
• Correspondences between modular Calabi-Yau fiber products
• Calabi-Yau coverings over some singular varieties and new Calabi-Yau 3-folds with Picard number one
• Small resolutions and non-liftable Calabi-Yau threefolds
• On fiber products of rational elliptic surfaces with section
• The Magma algebra system. I: The user language
• Rigid realizations of modular forms in Calabi-Yau threefolds
• Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy
• Projections of del Pezzo surfaces and Calabi-Yau threefolds
• Picard-Fuchs operators for octic arrangements. I: The case of orphans
• Modular Calabi-Yau threefolds
• K3 fibrations on rigid double octic Calabi–Yau threefolds
• Calabi–Yau Conifold Expansions
• A Calabi–Yau threefold with 192 automorphisms
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A₄
• Modularity of a nonrigid Calabi–Yau manifold with bad reduction at 13
• MODULAR CALABI–YAU THREEFOLDS OF LEVEL EIGHT
• Infinitesimal deformations of double covers of smooth algebraic varieties

This page was built for publication: Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes