Deformation of Residual Intersections
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908984955371520 |
|---|---|
| author | Hassanzadeh, Hamid Vasconcellos, Kevin |
| author_facet | Hassanzadeh, Hamid Vasconcellos, Kevin |
| contents | It is shown that in a Cohen-Macaulay local ring, the generic linkage of an ideal $I$ is a deformation of the arbitrary linkage of $I$. This fact does not need $I$ to be a Cohen-Macaulay ideal. The same holds for $s$-residual intersections of $I$ when $s$ does not exceed the height of $I$ by one. Under some slight conditions on $I$, one further generalizes this principle to encompass any $s$-residual intersection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformation of Residual Intersections Hassanzadeh, Hamid Vasconcellos, Kevin Commutative Algebra It is shown that in a Cohen-Macaulay local ring, the generic linkage of an ideal $I$ is a deformation of the arbitrary linkage of $I$. This fact does not need $I$ to be a Cohen-Macaulay ideal. The same holds for $s$-residual intersections of $I$ when $s$ does not exceed the height of $I$ by one. Under some slight conditions on $I$, one further generalizes this principle to encompass any $s$-residual intersection. |
| title | Deformation of Residual Intersections |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2405.12170 |