The second Hilbert coefficients and the homological torsions of parameters

التفاصيل البيبلوغرافية
العنوان: The second Hilbert coefficients and the homological torsions of parameters
المؤلفون: Goto, Shiro, Ozeki, Kazuho
سنة النشر: 2014
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, 13D40, 13H15, 13H10
الوصف: Let $M$ be a finitely generated module over a Noetherian local ring. This paper gives, for a given parameter ideal $Q$ for $M$, bounds for the second Hilbert coefficients ${\mathrm{e}}_Q^2(M)$ in terms of the homological degrees and torsions of modules. We also report a criterion for a certain equality of the second Hilbert coefficients of parameters and the homological torsions of modules.
Comment: 20 pages. arXiv admin note: substantial text overlap with arXiv:1404.2455, arXiv:1404.4680
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1405.4798
رقم الأكسشن: edsarx.1405.4798
قاعدة البيانات: arXiv