The Hirzebruch-Mumford covolume of some hermitian lattices

Stuken Ekaterina

Let $L=diag(1,1,\dots ,1,-1)$ and $M=diag(1,1,\dots ,1,-2)$ be the lattices of signature $(n,1)$. We consider the groups $\Gamma =SU(L,{\mathcal{O}}_K)$ and ${\Gamma }^{\prime }=SU(M,{\mathcal{O}}_K)$ for an…