Report
The minimal free resolution of a generic symmetric principal ideal
| العنوان: | The minimal free resolution of a generic symmetric principal ideal |
|---|---|
| المؤلفون: | Harada, Megumi, Seceleanu, Alexandra, Şega, Liana |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Primary: 13D02 primary. Secondary 13A50, 20C30, 13D07 |
| الوصف: | We introduce the class of principal symmetric ideals, which are ideals generated by the orbit of a single polynomial under the action of the symmetric group. Fixing the degree of the generating polynomial, this class of ideals is parametrized by points in a suitable projective space. We show that the minimal free resolution of a principal symmetric ideal is constant on a nonempty Zariski open subset of this projective space and we determine this resolution explicitly. Along the way, we study two classes of graded algebras which we term narrow and extremely narrow; both of which are instances of compressed artinian algebras. Comment: to appear in Transactions of the AMS |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.03141 |
| رقم الانضمام: | edsarx.2308.03141 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |