تقرير
Limits of length functions of multi $p$-families of ideals
| العنوان: | Limits of length functions of multi $p$-families of ideals |
|---|---|
| المؤلفون: | Nguyen, Thai Thanh, Pham, Vinh Anh |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, 13A18, 13D40, 13H15 |
| الوصف: | We show the asymptotic relationship between the limit of the normalized length function of a multi-$p-$family of ideals and that of its shifted family under linear growth conditions in a local domain of characteristic $p$. Examples of multi-$p-$families of ideals including products of Frobenius powers of different ideals. We apply our results to obtain a generalized version of a formula due to Wantanabe-Yoshida for certain $p-$families using results from Verma, and to provide an instance of the existence of a mixed multiplicity version of multi-$p$-families of ideals. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.17712 |
| رقم الأكسشن: | edsarx.2404.17712 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |