3 problems

General weighted-homogeneous polynomial ideal conjecture. The ideal $I$ contains no polynomial of standard degree $3m-3$. If true, the construction in the paper would imply the rel…

Let $d \geq 5$ be an integer congruent to $2$ modulo $3$. A primitive $d$-line is a primitive locally Cohen–Macaulay $d$-fold structure supported on a line $L\subset\mathbb{P}^3$;…

A primitive multiple line is a locally Cohen–Macaulay multiple structure supported on a line in $\mathbb{P}^3$; let $\mathcal{C}$ be the large family of primitive multiple lines co…