When will the Stanley depth increase

Details When will the Stanley depth increase When will the Stanley depth increase

2011-10-14

arxiv.org/abs/1110.3182v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

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 $\mu_d(I)\le \min(\binom{n}{d+1},\sum_{j=1}^{n-d}\binom{2j-1}{j})$,
then the Stanley depth $\sdepth_S(I)\ge d+1$.

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