Boundedness of the Images of Period Maps

2014/12/09 by Kefeng Liu, Yang Shen, Liu, Kefeng +1
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1412.2837

openalex publication_date 2014/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a conjecture of Griffiths on simultaneous normalization of all periods which asserts that the image of the lifted period map on the universal cover lies in a bounded domain in complex Euclidean space.

Citations

• Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type

Related

• Boundedness of the images of period maps and applications
• Simultaneous normalization of period map and affine structures on moduli spaces
• Algebraicity of the image of period map
• Sections of Hodge bundles I: Global theory and applications to period maps
• Global variations of Hodge structures of maximal dimension