2 problems

Let $S$ be the polynomial ring with its ${\mathbb Z}^n$-grading, let $\mathfrak m$ be its graded maximal ideal, let $I$ be a Cartwright–Sturmfels (CS) ideal, and let $J$ be its…

Let $S$ be the polynomial ring with its ${\mathbb Z}^n$-grading, let $I$ be a Cartwright–Sturmfels (CS) ideal, and let $J$ be its ${\mathbb Z}^n$-graded generic initial ideal. The…