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Generalized conjecture on v-numbers of graded ideals with linear powers
Let $S$ be a standard graded polynomial ring and let $I\subset S$ be a graded ideal with linear powers, meaning that every power $I^k$ has a linear free resolution. Let $\alpha(I)$ …
Conjectureopengraded-ideals linear-powers v-numbersarXiv posted 2 days ago
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Ficarra–Sgroi's v-number formula for ideals with linear powers
Ficarra–Sgroi's conjecture. One should have
Conjecturerefutedlinear-powers monomial-ideals v-numberarXiv posted 2 days ago

Generalized conjecture on v-numbers of graded ideals with linear powers