Arvind Kumar

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20232026

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3 papers · 1 filter

math.AC2024

Resurgence number and convex body associated to pairs of graded families of ideals

Tai Huy Ha, A. V. Jayanthan, Arvind Kumar +1

We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families co…

math.AC2024

Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids

Michael DiPasquale, Louiza Fouli, Arvind Kumar +1

It is well-known that the first generalized Hamming weight of a linear code, more commonly called \textit{the minimum distance} of the linear code, corresponds to the initial degre…

math.AC2024

Symbolic Powers of Classical Varieties

Arvind Kumar, Vivek Mukundan

Let $R = K [x_{1}, \dots, x_{n}]$ and let $a_{1}, \dots, a_{m}$ be homogeneous ideals satisfying certain properties, which include a description of the Noetherian s…