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arxiv: 1012.0156 · v2 · pith:EO4RMN76new · submitted 2010-12-01 · 🧮 math.CV

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

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keywords familiesderiveddifferentialdimensionalequationsperiodpolytopesreflexive
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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.

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