Hodge numbers from Picard-Fuchs equations

DOI10.3842/SIGMA.2017.045zbMath1366.14014arXiv1612.09439MaRDI QIDQ2360309

A. Harder, Charles F. Doran, Alan Thompson

Publication date: 3 July 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09439

zbMATH Keywords

Calabi-Yau manifoldsPicard-Fuchs equationvariation of Hodge structures

Mathematics Subject Classification ID

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

Related Items (2)

The Doran-Harder-Thompson conjecture for toric complete intersections ⋮ Calabi-Yau threefolds fibred by high rank lattice polarized \(K3\) surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calabi-Yau threefolds fibred by mirror quartic \(K3\) surfaces
• Lyapunov exponents of rank 2-variations of Hodge structures and modular embeddings
• Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle
• Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
• Extended holomorphic anomaly and loop amplitudes in open topological string
• D-branes and normal functions
• Intersection numbers of sections of elliptic surfaces
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Lyapunov exponents of the Hodge bundle over strata of quadratic differentials with large number of poles
• Lower bounds for Lyapunov exponents of flat bundles on curves
• Arithmeticity of certain symplectic hypergeometric groups
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• On the periods of certain rational integrals. I, II
• Equations différentielles à points singuliers réguliers
• Calabi-Yau manifolds realizing symplectically rigid monodromy tuples
• Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves
• Arithmeticity of Four Hypergeometric Monodromy Groups Associated to Calabi–Yau Threefolds: Table 1.
• Families of Lattice Polarized K3 Surfaces with Monodromy
• A canonical bundle formula for certain algebraic fiber spaces and its applications
• Hodge Numbers for the Cohomology of Calabi-Yau Type Local Systems
• Thin monodromy in Sp(4)
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

This page was built for publication: Hodge numbers from Picard-Fuchs equations