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

C.F. Faber; G. van der Geer; Fabien Cléry

doi:10.1090/mcom/3412

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

C.F. Faber, G. van der Geer, Fabien Cléry

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	2423-2441
Number of pages	19
Journal	Mathematics of Computation
Volume	88
Issue number	319
DOIs	https://doi.org/10.1090/mcom/3412
Publication status	Published - Sept 2019

Keywords

covariants
binary sextics
modular forms
degree 2
character

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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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AU - van der Geer, G.

AU - Cléry, Fabien

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N2 - 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.

AB - 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.

KW - covariants

KW - binary sextics

KW - modular forms

KW - degree 2

KW - character

U2 - 10.1090/mcom/3412

DO - 10.1090/mcom/3412

M3 - Article

SN - 0025-5718

VL - 88

SP - 2423

EP - 2441

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 319

ER -

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

Abstract

Keywords

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