Harmonic theta series and the Kodaira dimension of ${\mathcal{A}}_6$

Moritz Dittmann, Riccardo Salvati Manni, Nils R. Scheithauer

We construct a basis of the space ${\text{S}}_{14}({\text{Sp}}_{12}(\mathbb{Z}))$ of Siegel cusp forms of degree $6$ and weight $14$ consisting of harmonic theta series. One of the…