2 problems

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Weakened Minimal Resolution Conjecture for points in $\mathbb P^1\times\mathbb P^2$
Weakened Minimal Resolution Conjecture. The set $X$ has a generic Hilbert matrix as in the source definition, and, for every fixed $(i,j)>(0,0)$ , one has $\beta_{1,(i,j)}>0$ if and…
Conjectureopenminimal-resolutions multiprojective-spaces pointsarXiv posted 2 days ago
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The inclusion-property conjecture for finite point sets in multiprojective spaces
Inclusion-property conjecture. $X$ is arithmetically Cohen–Macaulay (ACM).
Conjectureopenarithmetically-cohen-macaulay finite-point-sets multiprojective-spacesarXiv posted 2 days ago

Weakened Minimal Resolution Conjecture for points in P1×P2\mathbb P^1\times\mathbb P^2P1×P2