On the structure of the fiber cone of ideals with analytic spread one

JOURNAL OF ALGEBRA

卷:317

Article

Benitez, Teresa Cortadellas¹  Armengou, Santiago Zarzuela¹ 

[1] Univ Barcelona, Dept Algebra & Geometry, E-08007 Barcelona, Spain

关键词: fiber cone;    Cohen-Macaulay;    Buchsbaum;    Gorenstein;    multiplicity;    Castelnuovo-Mumford regularity;   

DOI  :  10.1016/j.jalgebra.2007.02.044

来源: Elsevier

【 摘 要 】

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. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free