Arvind Kumar

activity

20162023

most citedRegularity of powers of quadratic sequences with applications to binomial ideals

22 citations · 77 across the 21 of their papers we have counts for

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Showing 2019Show all

9 papers · 1 filter

math.AC2019★ 11 cited

Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs

Arvind Kumar

Let $G$ be a simple graph on $n$ vertices. Let $L_{G} and I_{G}$ denote the Lovász-Saks-Schrijver(LSS) ideal and parity binomial edge ideal of $G$ in the polynom…

math.AC2019★ 5 cited

Binomial Edge Ideals of Generalized block graphs

Arvind Kumar

We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo-Mumford regularity of binomial edge ideals of ge…

math.AC2019★ 22 cited

Regularity of powers of quadratic sequences with applications to binomial ideals

A. V. Jayanthan, Arvind Kumar, Rajib Sarkar

In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms o…

math.AC2019

Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Arvind Kumar, S Selvaraja

Let $G$ be a finite simple graph and $I (G)$ denote the corresponding edge ideal in a polynomial ring over a field $K$ . In this paper, we obtain upper bounds for the Castel…

math.NT2019

Reductions of Galois representations and the theta operator

Eknath Ghate, Arvind Kumar

Let $p \geq 5$ be a prime, and let $f$ be a cuspidal eigenform of weight at least $2$ and level coprime to $p$ of finite slope $α$ . Let $ρ ˉ_{f}$ denote the mod $p$ Galois representa…

math.AC2019★ 14 cited

Certain Algebraic Invariants of Edge Ideals of Join of Graphs

Arvind Kumar, Rajiv Kumar, Rajib Sarkar

Let $G$ be a simple graph and $I (G)$ be its edge ideal. In this article, we study the Castelnuovo-Mumford regularity of symbolic powers of edge ideals of join of graphs. As a conse…