Omkar Javadekar

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20232026

most citedLinear quotients of connected ideals of graphs

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math.AC2026

Field independence of the first seven Betti numbers of flag complexes

Omkar Javadekar

In 2006, Katzman showed that the first six Betti numbers of the Stanley--Reisner ring of a flag complex are field independent. He also found flag complexes on eleven vertices whose…

math.AC2026

The Betti numbers and Golodness of numerical semigroup rings of Sally type

Manav Batavia, Omkar Javadekar, Manohar Kumar

We determine explicit formulae for the Betti numbers of the defining toric ideals of two families of numerical semigroups of Sally type, resolving and extending beyond several conj…

math.AC2026

On the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristic

Omkar Javadekar

Let $k$ be a field, $S = k [x, y, z]$ , and $R = S / I$ be a standard graded Artinian Gorenstein $k$ -algebra of codimension three. The $h$ -vector of such an algebra i…

math.AC2026

Purity of extremal rays of Betti cones

H. Ananthnarayan, Omkar Javadekar, Rajiv Kumar

Let $R$ be a standard graded algebra over an infinite field $k$ , and let $B_{Q} (R)$ and $B_{Q}^{pure} (R)$ denote the rational c…

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}…