3 problems

Fix an imaginary quadratic field $F$. For $r>0$, a Hermitian lattice is reflective with slope less than $r$ if it admits a reflective modular form whose slope is less than $r$. Fin…

Let $(x,j)$ be a pair in the odd hermitian setting. It is regular semi-simple and self-adjoint as defined in the source, and it is artinian when the schematic intersection…

Let $V$ be a hermitian space over $E$, and let $I(x,j)$ be the number of self-dual lattices satisfying the stated stability conditions. Let $O(x,j)$ be the corresponding signed lat…