Vivek Mukundan

activity

20182025

most citedTorsion in Differentials and Berger's Conjecture

8 citations · 10 across the 4 of their papers we have counts for

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14 papers · 1 filter

math.AC2025

Optimal Parametrizations and Valuations

Reinhold Hübl, Craig Huneke, Sarasij Maitra +1

This article discusses a way for uniquely setting up the valuations for the minimal generators of the maximal ideal of a one dimensional complete reduced and irreducible local alge…

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…

math.AC2024

Two Criteria For Quasihomogeneity

Sarasij Maitra, Vivek Mukundan

Let $(R, m_{R}, k)$ be a one-dimensional complete local reduced $k$ -algebra over a field of characteristic zero. The ring $R$ is said to be quasihomogeneous if there exists…

math.AC2023

Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers

Kriti Goel, Vivek Mukundan, Sudeshna Roy +1

This is an expository version of our paper [arXiv:1902.07384]. Our aim is to present recent Macaulay2 algorithms for computation of mixed multiplicities of ideals in a Noetherian r…

math.AC2023

Extremal behavior of reduced type of one dimensional rings

Sarasij Maitra, Vivek Mukundan

Let $R$ be a domain that is a complete local $k$ algebra in dimension one. In an effort to address the Berger's conjecture, a crucial invariant reduced type $s (R)$ was int…

math.AC2022★ 2 cited

Valuations and Nonzero Torsion in Module of Differentials

Sarasij Maitra, Vivek Mukundan

Let $(R, m_{R}, k)$ be a one-dimensional complete local reduced $k$ -algebra over a field of characteristic zero. R. Berger conjectured that $R$ is regular if and only if the…