When will the Stanley depth increase

Abstract

Let $I\subset S=\KK[x_1,...,x_n]$ be an ideal generated by squarefree monomials of degree $\ge d$. If the number of degree $d$ minimal generating monomials ${\mu }_d(I)\le \min ((\genfrac{}{}{0ex}{}{n}{d+1}),{\sum }_{j=1}^{n-d}(\genfrac{}{}{0ex}{}{2j-1}{j}))$, then the Stanley depth $\sdepth_S(I)\ge d+1$.

10 pages

References in corpus (1)

• Stanley depth of square free Veronese ideals