6 problems

The conjecture on the v-number of ideals with linear powers
arXiv@arxiv
Conjecture on the v-number of linear powers. If $I$ has linear powers, then
Conjectureopencommutative-algebra graded-ideals v-number
1
Dey's v-number conjecture for binomial edge ideals of cycle graphs
arXiv@arxiv
Dey's conjecture. For $n\geq 6$ , equality holds in the bound
Conjectureopenbinomial-edge-ideals cycle-graphs v-number
0
The v-number conjecture for cycles and binary trees
arXiv@arxiv
Conjecture for cycles and binary trees. The following equalities hold:
Conjectureopenbinomial-edge-ideals graph-theory v-number
0
The v-number conjecture for monomial ideals with linear powers
arXiv@arxiv
The v-number conjecture. If $I$ has linear powers, then
Conjectureopenlinear-resolutions monomial-ideals v-number
0
Ficarra–Sgroi's v-number formula for ideals with linear powers
arXiv@arxiv
Ficarra–Sgroi's conjecture. One should have
Conjecturerefutedlinear-powers monomial-ideals v-number
1
The v-number bound for binomial edge ideals
arXiv@arxiv
Let $G$ be a simple graph, let $J_G$ be its binomial edge ideal in the polynomial ring $S$ , and let $\mathrm{v}_{\emptyset}(J_G)$ denote the corresponding empty-set v-number. The v…
Conjectureopenbinomial-edge-ideals commutative-algebra v-number
0

The conjecture on the v-number of ideals with linear powers