Bass Numbers of the First Nonzero Local Cohomology Module
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916138146856960 |
|---|---|
| author | Levins, Andrew J. Soto |
| author_facet | Levins, Andrew J. Soto |
| contents | Let $R$ be a regular local ring containing a field, let $I$ be an ideal with $d=\text{ht}{I}$, and assume $\text{ht}{p}=d$ for every minimal prime $p$ of $I$. We compute the Bass numbers $μ^{0}(q,H_{I}^{d}(R))$ and $μ^{1}(q,H_{I}^{d}(R))$ for all primes $q$. We then study $μ^{2}(q,H_{I}^{d}(R))$ by considering the associated primes of $H_{I}^{d+1}(R)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15667 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bass Numbers of the First Nonzero Local Cohomology Module Levins, Andrew J. Soto Commutative Algebra 13D45 Let $R$ be a regular local ring containing a field, let $I$ be an ideal with $d=\text{ht}{I}$, and assume $\text{ht}{p}=d$ for every minimal prime $p$ of $I$. We compute the Bass numbers $μ^{0}(q,H_{I}^{d}(R))$ and $μ^{1}(q,H_{I}^{d}(R))$ for all primes $q$. We then study $μ^{2}(q,H_{I}^{d}(R))$ by considering the associated primes of $H_{I}^{d+1}(R)$. |
| title | Bass Numbers of the First Nonzero Local Cohomology Module |
| topic | Commutative Algebra 13D45 |
| url | https://arxiv.org/abs/2402.15667 |