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  Covariants of binary sextics and modular forms of degree 2 with character

Cléry, F., Faber, C., & Geer, G. v. d. (2019). Covariants of binary sextics and modular forms of degree 2 with character. Mathematics of Computation, 88(319), 2423-2441. doi:10.1090/mcom/3412.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-A091-2 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-A092-1
Genre: Journal Article

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arXiv:1803.05624.pdf (Preprint), 238KB
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Clery-Geer_On vector-valued Siegel modular forms of degree 2 and weight_2018.pdf (Publisher version), 309KB
 
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 Creators:
Cléry, Fabien1, Author           
Faber, Carel1, Author           
Geer, Gerard van der1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Number Theory
 Abstract: We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 with character, over the ring of scalar-valued Siegel modular forms of even weight. For a modular form defined by a covariant we express the order of vanishing along the locus of products of elliptic curves in terms of the covariant.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1803.05624
URI: http://arxiv.org/abs/1803.05624
DOI: 10.1090/mcom/3412
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Title: Mathematics of Computation
  Abbreviation : Math. Comp.
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 88 (319) Sequence Number: - Start / End Page: 2423 - 2441 Identifier: -