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math.AC2025
Rational symbolic powers of ideals
Souvik Dey, Tai Huy Ha, Dipendranath Mahato +1
We introduce and study rational symbolic powers of ideals in Noetherian rings. We give membership criteria for rational symbolic powers and discuss settings where they agree with i…
math.AC2025
Slightly mixed symbolic powers of matroids are locally glicci
Paolo Mantero, Vinh Nguyen
Let $\M$ be a matroid, and let $I_{\M}$ be either the Stanley--Reisner or the cover ideal of $\M$. In this paper we prove that for any matroid $\M$ on , any $\ell\in \ZZ_+$, a…
math.AC2025
Ordinary and symbolic powers of matroids via polarization
Justin Lyle, Paolo Mantero
In this paper, we propose a uniform approach to tackle problems about squarefree monomial ideals whose powers have good properties. We employ this approach to achieve a twofold goa…