H. Ananthnarayan

activity

20072026

most citedThe Gorenstein Colength of an Artinian Local Ring

17 citations · 24 across the 12 of their papers we have counts for

collaborators

12 papers

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.AC2024

Betti cones over fibre products

H. Ananthnarayan, Omkar Javadekar, Rajiv Kumar

Let $R$ be a fibre product of standard graded algebras over a field. We study the structure of syzygies of finitely generated graded $R$ -modules. As an application of this, we show…

math.AC2024★ 1 cited

Linear quotients of connected ideals of graphs

H. Ananthnarayan, Omkar Javadekar, Aryaman Maithani

As a higher analogue of the edge ideal of a graph, we study the $t$ -connected ideal $J_{t}$ . This is the monomial ideal generated by the connected subsets of size $t…

math.AC2023

Syzygies of associated graded modules

H. Ananthnarayan, Manav Batavia, Omkar Javadekar

Given a finitely generated module $M$ over a Noetherian local ring $R$ , we give a characterization for the first syzygy of the associated graded module $G_{m} (M)$ to be…

math.AC2019

Diagonal Subalgebras of Residual Intersections

H. Ananthnarayan, Neeraj Kumar, Vivek Mukundan

Let $k$ be a field, $S$ be a bigraded $k$ -algebra, and $S_{Δ}$ denote the diagonal subalgebra of $S$ corresponding to $Δ = {(cs, es) ∣ s \in Z}$ . It is k…

math.AC2017★ 2 cited

Associated Graded Rings and Connected Sums

H. Ananthnarayan, Ela Celikbas, Jai Laxmi +1

In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate c…