Antisymmetric paramodular forms of weight 3
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Antisymmetric paramodular forms of weight 3
Author(s) :
Journal title :
Sbornik: Mathematics
Pages :
1702-1723
Publisher :
Turpion
Publication date :
2019-12-01
ISSN :
1064-5616
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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