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arXiv · 2603.02358

The stable set of associated primes of a complementary edge ideal

Antonino Ficarra
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Abstract

We explicitly determine the associated primes of every power of a complementary edge ideal, prove that they satisfy the persistence property, and compute the $\text{v}$-function. In the course of the proofs, we completely describe the homological properties of all powers of squarefree monomial ideals generated in degrees large relative to the number of variables defining them.

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Antonino Ficarra. 2026-03-02. The stable set of associated primes of a complementary edge ideal. https://arxiv.org/abs/2603.02358

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