Almost Complete Intersections: Regularity of powers and Rees algebra

التفاصيل البيبلوغرافية
العنوان: Almost Complete Intersections: Regularity of powers and Rees algebra
المؤلفون: Kumar, Neeraj, Venugopal, Chitra
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, 13D02, 13J30, 13C05, 13H10
الوصف: An almost complete intersection ideal can be seen as a $d$-sequence ideal with the minimal number of generators being one more than its height. In this paper, we give exact formulas for the regularity of powers of graded almost complete intersection ideals. We also present the minimal bigraded free resolutions of Rees algebras associated with linear type ideals having one generator more than their grade and study the properties of Cohen-Macaualyness, Koszulness associated to their diagonals.
Comment: Comments and suggestions are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.15844
رقم الأكسشن: edsarx.2403.15844
قاعدة البيانات: arXiv