The graded ring of Hermitian modular forms of degree 2
type: Item
instance of: scholarly article
title: The graded ring of Hermitian modular forms of degree 2
zbMATH Open document ID: 1021.11015
DOI: 10.1007/BF02941662
author: Yanyan Li
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 2003-02-13T00:00:00Z
review text: Freitag studied the Hermitian modular forms of degree 2 associated with the Gaussian field and constructed six generators of the graded ring of symmetric forms. In this beautiful paper, the author gives generators of the graded ring including non-symmetric forms. There are seven generators, which are Freitag's six symmetric generators and one skew-symmetric form of weight 34. The method is based on the estimation of the dimension of Jacobi forms appearing in the Fourier-Jacobi development of Hermitian modular forms. He constructs the skew-symmetric generator by using the theory of generalized Rankin-Cohen differential operators, investigated by Ibukiyama.
reviewed by: Shoyu Nagaoka
Mathematics Subject Classification ID: 11F55
Mathematics Subject Classification ID: 11F50
zbMATH DE Number: 1868555
zbMATH Keywords: Hermitian modular forms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1868555