Period differential equations for families of K3 surfaces derived from 3 dimensional reflexive polytopes with 5 vertices

2010/12/01 by Atsuhira Nagano, Nagano, Atsuhira
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1012.0156

openalex publication_date 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed reflexive polytopes with at most terminal singularity. We determine the lattice structures, the period differential equations and the projective monodromy groups for these families.

Citations

• A period differential equation for a family of K3 surfaces and the Hilbert modular orbifold for the field ℚ(√(5))
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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