Antisymmetric paramodular forms of weight 3
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Published:2019-12-01
Issue:12
Volume:210
Page:1702-1723
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:
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Short-container-title:Sb. Math.
Author:
Gritsenko V. A.,Wang H.
Abstract
Abstract
The problem of the construction of antisymmetric paramodular forms of canonical weight
has been open since 1996. Any cusp form of this type determines a canonical differential form on any smooth compactification of the moduli space of Kummer surfaces associated to
-polarised abelian surfaces. In this paper, we construct the first infinite family of antisymmetric paramodular forms of weight
as automorphic Borcherds products whose first Fourier-Jacobi coefficient is a theta block.
Bibliography: 32 titles.
Funder
Ministry of Education and Science of the Russian Federation
Labex
Subject
Algebra and Number Theory
Cited by
1 articles.
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