2023/05/29 by Alessandro De Stefani, De Stefani, Alessandro, Jonathan Montaño +7 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2305.18167
openalex publication_date 2023/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we show that the symbolic Rees algebra of a mixed 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. The latter implies that mixed ladder determinantal rings are F-pure. We also show that ideals of the poset of minors of a generic matrix give rise to F-pure algebras with straightening law.