Appell's hypergeometric function \(F_ 2\) and periods of certain elliptic K3 surfaces

DOI10.3836/TJM/1270141790zbMath0629.14030OpenAlexW2067250623MaRDI QIDQ1093702

Seiji Nishiyama

Publication date: 1987

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270141790

zbMATH Keywords

hypergeometric functionsperiod mapK3 modular function

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Period matrices, variation of Hodge structure; degenerations (32G20) Theta series; Weil representation; theta correspondences (11F27) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Moduli, classification: analytic theory; relations with modular forms (14J15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (3)

The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6) ⋮ Schwarz's map for Appell's second hypergeometric system with quarter integer parameters ⋮ On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)

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