3 problems

Scheja–Storch generator conjecture. The assumption that $\binom{n+r}{r}$ is invertible in $k$ is unnecessary: there should be a similar construction of the Scheja–Storch generator…

Singularity-theoretic determination conjecture. The invariant $\nu(C)$ is determined by the degree of $C$ and the list of analytic types of the isolated singularities of $C$.

Let supercohomology be the cohomological invariant under consideration, let the Jacobian ring encode the relevant algebraic data, let gaps refer to gaps in the associated categoric…