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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.AG2022
Nash blowups of toric varieties in prime characteristic
Daniel Duarte, Jack Jeffries, Luis Núñez-Betancourt
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desi…
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,…