On vector-valued Siegel modular forms of degree 2 and weight (j,2)

Autor:	Cléry, Fabien, van der Geer, Gerard
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We formulate a conjecture that describes the vector-valued Siegel modular forms of degree 2 and level 2 of weight Sym^j det^2 and provide some evidence for it. We construct such modular forms of weight (j,2) via covariants of binary sextics and calculate their Fourier expansions illustrating the effectivity of the approach via covariants. Two appendices contain related results of Chenevier; in particular a proof of the fact that every modular form of degree 2 and level 2 and weight (j,1) vanishes. Comment: 26 pages with two appendices by Ga\"etan Chenevier
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.01748 Zobrazit plný text záznamu View this record from Arxiv