Theta functions on the classical bounded symmetric domain of type \(I_{2,2}\)

DOI10.3792/pjaa.67.1zbMath0747.11023OpenAlexW2019171607MaRDI QIDQ1178756

Keiji Matsumoto

Publication date: 26 June 1992

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.67.1

zbMATH Keywords

theta functionsbounded symmetric domainSatake compactificationmoduli space of arrangementsperiod space of K3 surfaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Theta functions and abelian varieties (14K25) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (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 ⋮ Hermitian modular forms and the Burkhardt quartic

Cites Work

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• Theta functions on the bounded symmetric domain of type \(I_{2,2}\) and the period map of a 4-parameter family of K3 surfaces
• The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• 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

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