تقرير
The structure of the Sally module of integrally closed ideals
| العنوان: | The structure of the Sally module of integrally closed ideals |
|---|---|
| المؤلفون: | Ozeki, Kazuho, Rossi, Maria Evelina |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, 13D40, 13A30, 13H10 |
| الوصف: | The first two Hilbert coefficients of a primary ideal play an important role in commutative algebra and in algebraic geometry. In this paper we give a complete algebraic structure of the Sally module of integrally closed ideals $I$ in a Cohen-Macaulay local ring $A$ satisfying the equality $\mathrm{e}_1(I)=\mathrm{e}_0(I)-\ell_A(A/I)+\ell_A(I^2/QI)+1, $ where $Q$ is a minimal reduction of $I$, and $\mathrm{e}_0(I)$ and $\mathrm{e}_1(I)$ denote the first two Hilbert coefficients of $I, $ respectively the multiplicity and the Chern number of $I$. This almost extremal value of $\mathrm{e}_1(I) $ with respect classical inequalities holds a complete description of the homological and the numerical invariants of the associated graded ring. Examples are given. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1510.08292 |
| رقم الأكسشن: | edsarx.1510.08292 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |