Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771768 | Journal of Algebra | 2017 | 8 Pages |
Abstract
Let Ï:S=k[y0,...,yn]âR=k[y0,...,yn] be given by yiâfi where f0,...,fn is an R-regular sequence of homogeneous elements of the same degree. A recent paper shows for ideals, IÎâS, of matroids, Î, that IÎ(m)âIr if and only if Ïâ(IÎ)(m)âÏâ(IÎ)r where Ïâ(IÎ) is the ideal generated in R by Ï(IÎ). We prove this result for saturated homogeneous ideals I of configurations of points in Pn and use it to obtain many new counterexamples to I(rnân+1)âIr from previously known counterexamples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Solomon Akesseh,