Symbolic Defect of Monomial Ideals
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909137525276672 |
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| author | Oltsik, Benjamin R. |
| author_facet | Oltsik, Benjamin R. |
| contents | Given a monomial ideal $I$, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12280 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symbolic Defect of Monomial Ideals Oltsik, Benjamin R. Commutative Algebra Primary: 13A02, 13E05, 13H15 Given a monomial ideal $I$, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron. |
| title | Symbolic Defect of Monomial Ideals |
| topic | Commutative Algebra Primary: 13A02, 13E05, 13H15 |
| url | https://arxiv.org/abs/2310.12280 |