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

Atsuhira Nagano

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arXiv · 1012.0156

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

Atsuhira Nagano

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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.

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Atsuhira Nagano. 2010-12-01. Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices. https://arxiv.org/abs/1012.0156

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