Omkar Javadekar

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math.AC2026

On licci squarefree monomial ideals

Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar

We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…

math.AC2026

On Golod Subdeterminantal Ideals

Omkar Javadekar

Let $X = (x_{ij})_{m \times n}$ be a matrix of indeterminates and let $S = k [x_{ij} ∣ 1 \leq i \leq m, 1 \leq j \leq n]$ be a polynomial ring over an infinite field $\mathbb{k}…

math.AC2025

Projective monomial curves associated to numerical semigroups with multiplicity $e$ , width $e - 1$ , and embedding dimension $e - 2$

Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar

Numerical semigroups with multiplicity $e$ , width $e - 1$ , and embedding dimension $e - 2$ are of the form $$S(e,m,n) = \langle \{e, e+1, \ldots, 2e-1\} \setminus \{e+m, e+n\} \rangle,…

math.AC2025

A comparison of the regularity of certain classes of monomial ideals and their integral closures

Omkar Javadekar

Let $S = k [x_{1}, \dots, x_{n}]$ , $I$ be an ideal of $S$ , and $I ˉ$ denote its integral closure. A conjecture of Küronya and Pintye states that for any homogeneous ideal…

On licci squarefree monomial ideals

On Golod Subdeterminantal Ideals

Projective monomial curves associated to numerical semigroups with multiplicity e, width e−1, and embedding dimension e−2

A comparison of the regularity of certain classes of monomial ideals and their integral closures

Projective monomial curves associated to numerical semigroups with multiplicity $e$ , width $e - 1$ , and embedding dimension $e - 2$