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math.AC2023
Ladder determinantal varieties and their symbolic blowups
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt +2
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly -regular. Furthermore, we prove that the symbolic associated graded alge…
math.AC2022
Purity of monoids and characteristic-free splittings in semigroup rings
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
Inspired by methods in prime characteristic in commutative algebra, we introduce and study combinatorial invariants of seminormal monoids. We relate such numbers with the singulari…
math.AC2022
Frobenius methods in combinatorics
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties,…