H. Ananthnarayan

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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.AC2025

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.AC2025

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…