Depth of fiber cones of ideals with almost minimal mixed multiplicity

作者：Zhu Guangjun^*

来源：Journal of Algebra, 2008, 320(9): 3534-3542.

DOI：10.1016/j.jalgebra.2008.07.018

• Almost minimal mixed multiplicity
• Reduction of an ideal
• joint reduction
• Fiber coefficient
• Fiber cone
• Rees-superficial sequence
• Depth

Let (R, m) be a Cohen-Macaulay local ring of dimension d > 0, I an m-primary ideal with almost minimal mixed multiplicity such that depth G(I) >= d - 1. We show that F-m(I) has almost maximal depth (i.e. depth F-m (I) >= d - 1).

• 出版日期2008-11-1
• 单位苏州大学; 宿州学院