Period differential equations for the families of K3 surfaces with two parameters derived from the reflexive polytopes

Atsuhira Nagano

doi:10.2206/kyushujm.66.193

Period differential equations for the families of K3 surfaces with two parameters derived from the reflexive polytopes

Atsuhira Nagano

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

In this paper, we study the period mappings for the families of K3 surfaces derived from the three-dimensional reflexive polytopes with five vertices. We determine the lattice structures, the period differential equations and the projectivemonodromy groups.Moreover, we show that one of our period differential equations coincides with the uniformizing differential equation of the Hilbert modular orbifold for the field ℚ(√5).

Original language	English
Pages (from-to)	193-244
Number of pages	52
Journal	Kyushu Journal of Mathematics
Volume	66
Issue number	1
DOIs	https://doi.org/10.2206/kyushujm.66.193
Publication status	Published - 2012

Keywords

Hilbert modular orbifolds
K3 surfaces
Period differential equations
Period maps
Toric varieties

ASJC Scopus subject areas

Mathematics(all)

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10.2206/kyushujm.66.193

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Nagano, A. (2012). Period differential equations for the families of K3 surfaces with two parameters derived from the reflexive polytopes. Kyushu Journal of Mathematics, 66(1), 193-244. https://doi.org/10.2206/kyushujm.66.193

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