کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588616 1334190 2007 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the structure of the fiber cone of ideals with analytic spread one
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the structure of the fiber cone of ideals with analytic spread one
چکیده انگلیسی

For a given a local ring (A,m), we study the fiber cone of ideals in A with analytic spread one. In this case, the fiber cone has a structure as a module over its Noether normalization which is a polynomial ring in one variable over the residue field. One may then apply the structure theorem for modules over a principal domain to get a complete description of the fiber cone as a module. We analyze this structure in order to study and characterize in terms of the ideal itself the arithmetical properties and other numerical invariants of the fiber cone as multiplicity, reduction number or Castelnuovo–Mumford regularity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 317, Issue 2, 15 November 2007, Pages 759-785