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^*

^*この研究の対応する著者

研究成果: Article › 査読

4 被引用数 (Scopus)

抄録

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).

本文言語	English
ページ（範囲）	193-244
ページ数	52
ジャーナル	Kyushu Journal of Mathematics
巻	66
号	1
DOI	https://doi.org/10.2206/kyushujm.66.193
出版ステータス	Published - 2012

ASJC Scopus subject areas

数学 (全般)

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10.2206/kyushujm.66.193

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KW - Period maps

KW - Toric varieties

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

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