Resultant of an equivariant polynomial system with respect to direct product of symmetric groups
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908509932617728 |
|---|---|
| author | Owolabi, Sonagnon Julien Nonkane, Ibrahim Tossa, Joel |
| author_facet | Owolabi, Sonagnon Julien Nonkane, Ibrahim Tossa, Joel |
| contents | In this note, we consider the resultant of systems of homogeneous multivariate polynomials which are equivariant under the action of direct product of two symmetric groups. We establish a decomposition formula for the resultant of such systems. Thanks to that decomposition formula we prove that the discriminant of an invariant multivariate homogeneous polynomial under a direct product of symmetric groups splits into smaller resultants that are easier to compute. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resultant of an equivariant polynomial system with respect to direct product of symmetric groups Owolabi, Sonagnon Julien Nonkane, Ibrahim Tossa, Joel Commutative Algebra Number Theory In this note, we consider the resultant of systems of homogeneous multivariate polynomials which are equivariant under the action of direct product of two symmetric groups. We establish a decomposition formula for the resultant of such systems. Thanks to that decomposition formula we prove that the discriminant of an invariant multivariate homogeneous polynomial under a direct product of symmetric groups splits into smaller resultants that are easier to compute. |
| title | Resultant of an equivariant polynomial system with respect to direct product of symmetric groups |
| topic | Commutative Algebra Number Theory |
| url | https://arxiv.org/abs/2508.21713 |