Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$
Algebraic Geometry
2021-03-31 v2 Number Theory
Abstract
We construct a basis of the space of Siegel cusp forms of degree and weight consisting of harmonic theta series. One of these functions has vanishing order at the boundary which implies that the Kodaira dimension of is non-negative.
Keywords
Cite
@article{arxiv.1909.07062,
title = {Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$},
author = {Moritz Dittmann and Riccardo Salvati Manni and Nils R. Scheithauer},
journal= {arXiv preprint arXiv:1909.07062},
year = {2021}
}