On the generic degree of two-parameter period mappings

2024/08/22 by Chongyao Chen, Chen, Chongyao, Hao‐Hua Deng +1 · 1 citation
Mathematics · #14C34 #14D07 #14J32 #32G20 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Functional Equations Stability Results #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2408.12090

openalex publication_date 2024/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the generic Torelli theorem holds for these cases.

Cited by

• On the generalized toroidal completion of period mappings

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