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Regularity of powers of Stanley-Reisner ideals of one-dimensional simplicial complexes

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 نشر من قبل Cong Minh Nguyen
 تاريخ النشر 2021
  مجال البحث
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Let $Delta$ be a one-dimensional simplicial complex. Let $I_Delta$ be the Stanley-Reisner ideal of $Delta$. We prove that for all $s ge 1$ and all intermediate ideals $J$ generated by $I_Delta^s$ and some minimal generators of $I_Delta^{(s)}$, we have $${rm reg} J = {rm reg} I_Delta^s = {rm reg} I_Delta^{(s)}.$$



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