2 problems

Matching

The converse conjecture for ACM point sets and the condition $N_1(X) \in \mathcal D(X)$
About 9 years old
Converse conjecture. Then
openarithmetically-cohen-macaulay finite-point-sets
05
The inclusion-property conjecture for finite point sets in multiprojective spaces
About 9 years old
Inclusion-property conjecture. $X$ is arithmetically Cohen–Macaulay (ACM).
openarithmetically-cohen-macaulay finite-point-sets multiprojective-spaces
08