Theta functions on the bounded symmetric domain of type \(I_{2,2}\) and the period map of a 4-parameter family of K3 surfaces
type: Item
instance of: scholarly article
title: Theta functions on the bounded symmetric domain of type \(I_{2,2}\) and the period map of a 4-parameter family of K3 surfaces
zbMATH Open document ID: 0791.32008
DOI: 10.1007/BF01444893
author: Keiji Matsumoto
published in: Mathematische Annalen
publication date: 1994-03-23T00:00:00Z
full work available at URL: https://eudml.org/doc/165048
review text: The inverse of the period map of the 4-dimensional family of K3 surfaces, the double covers of \(\mathbb{P}^ 2\) branching along six lines, is expressed by theta functions on the symmetric domain of type \(I_{2,2}\).
Mathematics Subject Classification ID: 32G20
Mathematics Subject Classification ID: 14K25
Mathematics Subject Classification ID: 32N15
Mathematics Subject Classification ID: 32M15
Mathematics Subject Classification ID: 14J10
zbMATH DE Number: 537215
zbMATH Keywords: inverse of the period map
zbMATH Keywords: family of K3 surfaces
zbMATH Keywords: theta functions
MaRDI profile type: Publication
cites work: Q4735276
cites work: Q5535672
cites work: On Siegel Modular Forms of Genus Two
cites work: On the Graded Ring of Theta-Constants
cites work: Q3490078
cites work: Theta functions on the classical bounded symmetric domain of type \(I_{2,2}\)
cites work: The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)
cites work: THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)
OpenAlex ID: W1972892342
description: scientific article; zbMATH DE number 537215