6 problems

Cisto's Generalized Wilf conjecture. The inequality

Let $n\geq 2$, let $M=\mathbf P(n,\mathbb N)$, and let $S$ be a unipotent numerical monoid in $M$. Let $\varphi(S)$ be its image in $\mathbb N^{n-1}$ under the monoid isomorphism…

Let $n\geq 2$, and let $T$ be a generalized numerical monoid (GMS), meaning a complement-finite submonoid of $\mathbb N^{n-1}$. Let $H(T)=\mathbb N^{n-1}\setminus T$ be its hole se…

Let $S\subseteq\mathbb{N}^{d}$ be a Frobenius generalized numerical semigroup with Frobenius element $\mathbf{f}=(f^{(1)},\ldots,f^{(d)})$. With $e(S)$ the number of minimal genera…

Affine stratification conjecture. Every squarefree lattice game possesses an affine stratification.

Affine-stratification conjecture. Every lattice game possesses an affine stratification.