The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)
type: Item
instance of: scholarly article
title: The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)
zbMATH Open document ID: 0684.14010
author: Keiji Matsumoto
author: Takeshi Sasaki
author: Masaaki Yoshida
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: The paper gives an algebro-geometric interpretation of Aomoto-Gelfand hypergeometric function of type (3,6). Namely these is seen as a period map of a 4-dimensional family of K3 surfaces, the target of which is the 4-dimensional Hermitian symmetric bounded domain of type IV.
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 32G20
zbMATH DE Number: 4120313
zbMATH Keywords: Aomoto-Gelfand hypergeometric function
zbMATH Keywords: period map
zbMATH Keywords: family of K3 surfaces
reviewed by: Nicolae Mihalache
MaRDI profile type: Publication
full work available at URL: pjaa.64.307
OpenAlex ID: W2029672048
cites work: Q4164336
cites work: Monodromy of hypergeometric functions and non-lattice integral monodromy
cites work: Q3788294
cites work: Q3772517
cites work: Q3490078
cites work: Appell's hypergeometric function \(F_ 2\) and periods of certain elliptic K3 surfaces
cites work: Contiguity Relations of Aomoto–Gel’fand Hypergeometric Functions and Applications to Appell’s System ${}_3 F_2 $ and Goursat’s System ${}_3 F_2 $
cites work: Linear differential equations in two variables of rank four. I
cites work: Linear differential equations modeled after hyperquadrics
cites work: Fonctions hypergeometriques \(F_ 1 \)et fonctions automorphes. I
cites work: Q4727486
DOI: 10.3792/PJAA.64.307
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description: scientific article; zbMATH DE number 4120313