The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)

DOI10.3792/pjaa.64.307zbMath0684.14010OpenAlexW2029672048MaRDI QIDQ1825250

Keiji Matsumoto, Masaaki Yoshida, Takeshi Sasaki

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.307

zbMATH Keywords

period mapfamily of K3 surfacesAomoto-Gelfand hypergeometric function

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Period matrices, variation of Hodge structure; degenerations (32G20) Families, moduli, classification: algebraic theory (14J10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (2)

Theta functions on the classical bounded symmetric domain of type \(I_{2,2}\) ⋮ Theta functions on the bounded symmetric domain of type \(I_{2,2}\) and the period map of a 4-parameter family of K3 surfaces

Cites Work

• Linear differential equations in two variables of rank four. I
• Appell's hypergeometric function \(F_ 2\) and periods of certain elliptic K3 surfaces
• Linear differential equations modeled after hyperquadrics
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Fonctions hypergeometriques \(F_ 1 \)et fonctions automorphes. I
• Contiguity Relations of Aomoto–Gel’fand Hypergeometric Functions and Applications to Appell’s System ${}_3 F_2 $ and Goursat’s System ${}_3 F_2 $
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