The stable set of associated primes of a complementary edge ideal
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908861306241024 |
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| author | Ficarra, Antonino |
| author_facet | Ficarra, Antonino |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02358 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The stable set of associated primes of a complementary edge ideal Ficarra, Antonino Commutative Algebra Combinatorics 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. |
| title | The stable set of associated primes of a complementary edge ideal |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2603.02358 |