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<p>In this article we show that the symbolic Rees algebra of a mixed (two-sided) ladder determinantal ideal is strongly <i>F</i>-regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is <i>F</i>-pure. Finally, we show that ideals of the poset of minors of a generic matrix give rise to <i>F</i>-pure algebras with straightening law.</p>

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Ladder determinantal varieties and their symbolic blowups

  • 期刊论文

  • 发表日期：

    2026年3月2日

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  • Alessandro De Stefani,
  • Jonathan Montaño,
  • Luis Núñez-Betancourt,
  • Lisa Seccia,
  • Matteo Varbaro

摘要

In this article we show that the symbolic Rees algebra of a mixed (two-sided) ladder determinantal ideal is strongly F-regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is F-pure. Finally, we show that ideals of the poset of minors of a generic matrix give rise to F-pure algebras with straightening law.