2 problems

Determinantal degeneration conjecture for Borel ideals on the ACM component
arXiv@arxiv
Let $J$ be a saturated Borel ideal on the Hilbert scheme component of the Borel ideal … Let $A(F)$ be the matrix defined in the source, and consider ideals generated by its…
Conjectureopenborel-ideals determinantal-varieties hilbert-schemes
0
Characterization of Borel ideals on the ACM component of $J(l,m)$
arXiv@arxiv
Characterization conjecture. A saturated Borel ideal with the same Hilbert polynomial as $J(l,m)$ lies on the Hilbert scheme component of $J(l,m)$ if and only if it satisfies both…
Conjectureopenarithmetically-cohen-macaulay-curves borel-ideals hilbert-schemes
1

Determinantal degeneration conjecture for Borel ideals on the ACM component