Noetherian Rees Algebra and Symbolic Powers
Abstract
Let R be a field and [special characters omitted] be the kernel of the homomorphism ϕ from R[[x,y,z]] to R[[t]] defined by: (x → [special characters omitted]). One wishes to know whether the symbolic Rees algebra of [special characters omitted] is Noetherian. Consider the case when [special characters omitted] = (xα+α' – y2z, y4 – xαz, z 2 – xα'y2). We show the symbolic Rees algebra of [special characters omitted] is Noetherian for [special characters omitted](m1, m2, m3) when m1 = 6, m2 = 2α + α', and m 3 = 2α + 4α'.
Subject Area
Mathematics|Theoretical Mathematics
Recommended Citation
Amber Heater,
"Noetherian Rees Algebra and Symbolic Powers"
(2012).
ETD Collection for Tennessee State University.
Paper AAI1519768.
https://digitalscholarship.tnstate.edu/dissertations/AAI1519768