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  Graded rings of integral Jacobi forms

Gritsenko, V., & Wang, H. (2020). Graded rings of integral Jacobi forms. Journal of Number Theory, 214, 382-398. doi:10.1016/j.jnt.2020.03.006.

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arXiv:1810.09392.pdf (Preprint), 208KB
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https://doi.org/10.1016/j.jnt.2020.03.006 (Publisher version)
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 Creators:
Gritsenko, Valery, Author
Wang, Haowu1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, High Energy Physics - Theory, Algebraic Geometry, Algebraic Topology
 Abstract: We determine the structure of the bigraded ring of weak Jacobi forms with
integral Fourier coefficients. This ring is the target ring of a map
generalising the Witten and elliptic genera and a partition function of
$(0,2)$-model in string theory. We also determine the structure of the graded
ring of all weakly holomorphic Jacobi forms of weight zero and integral index
with integral Fourier coefficients. These forms are the data for Borcherds
products for the Siegel paramodular groups.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 17
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Journal of Number Theory
  Abbreviation : J. Number Theory
Source Genre: Journal
 Creator(s):
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Publ. Info: Elsevier
Pages: - Volume / Issue: 214 Sequence Number: - Start / End Page: 382 - 398 Identifier: -