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

DOI10.1007/BF01444893zbMath0791.32008OpenAlexW1972892342MaRDI QIDQ1318012

Keiji Matsumoto

Publication date: 23 March 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165048

zbMATH Keywords

theta functionsfamily of K3 surfacesinverse of the period map

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Period matrices, variation of Hodge structure; degenerations (32G20) Theta functions and abelian varieties (14K25) Families, moduli, classification: algebraic theory (14J10) Automorphic functions in symmetric domains (32N15)

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Cites Work

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• Theta functions on the classical bounded symmetric domain of type \(I_{2,2}\)
• The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)
• THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
• On Siegel Modular Forms of Genus Two
• On the Graded Ring of Theta-Constants