Additions to a theorem of Morey-Ulrich
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911143692337152 |
|---|---|
| author | Fiel, Thiago Ramos, Zaqueu Simis, Aron |
| author_facet | Fiel, Thiago Ramos, Zaqueu Simis, Aron |
| contents | Let $R = k[x_1,\ldots, x_d]$ denote a standard graded polynomial ring over an algebraically closed field $k$, and let $I \subset R$ be a perfect ideal of codimension $2$ with an $n\times (n-1)$ linear presentation matrix $ϕ$. We prove an extended formulation of a theorem of Morey and Ulrich in the case where $I$ satisfies condition $G_{d-1}$, but not condition $G_d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Additions to a theorem of Morey-Ulrich Fiel, Thiago Ramos, Zaqueu Simis, Aron Commutative Algebra Let $R = k[x_1,\ldots, x_d]$ denote a standard graded polynomial ring over an algebraically closed field $k$, and let $I \subset R$ be a perfect ideal of codimension $2$ with an $n\times (n-1)$ linear presentation matrix $ϕ$. We prove an extended formulation of a theorem of Morey and Ulrich in the case where $I$ satisfies condition $G_{d-1}$, but not condition $G_d$. |
| title | Additions to a theorem of Morey-Ulrich |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2505.03065 |