تقرير
Splittings for symbolic powers of edge ideals of complete graphs
| العنوان: | Splittings for symbolic powers of edge ideals of complete graphs |
|---|---|
| المؤلفون: | Cooper, Susan M., Da Silva, Sergio, Gutkin, Max, Reimer, Tessa |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Mathematics - Combinatorics, 13D02, 13F55 |
| الوصف: | In this paper we study the $s$-th symbolic powers of the edge ideals of complete graphs. In particular, we provide a criterion for finding an Eliahou-Kervaire splitting on these ideals, and use the splitting to provide a description for the graded Betti numbers. We also discuss the symbolic powers and graded Betti numbers of edge ideals of parallelizations of finite simple graphs. Comment: 16 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.13017 |
| رقم الأكسشن: | edsarx.2309.13017 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |