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arXiv · 2608.18406

V-numbers of powers of cover ideals of unimodular hypergraphs

Nguyen Thu Hang·Thanh Vu
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Abstract

Let $H$ be a unimodular hypergraph with cover ideal $J(H)$. We prove that the local $v$-numbers of $J(H)^t$ are linear in $t$ for all $t\ge1$. We further show that the global $v$-number of $J(H)^t$ is linear in $t$ for all $t\ge n-1$. Finally, we prove that the global $v$-number of the powers of the cover ideal of any tree is linear in $t$ for all $t\ge1$.

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Nguyen Thu Hang, Thanh Vu. 2026-08-19. V-numbers of powers of cover ideals of unimodular hypergraphs. https://arxiv.org/abs/2608.18406

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