On Borel fixed ideals generated in one degree
交换代数
2007-05-23 v1
摘要
We construct a (shellable) polyhedral cell complex that supports a minimal free resolution of a Borel fixed ideal, which is minimally generated (in the Borel sense) by just one monomial in S=k[x_1,x_2,...,x_n]; this includes the case of powers of the homogeneous maximal ideal (x_1,x_2,...,x_n) as a special case. In our most general result we prove that for any Borel fixed ideal I generated in one degree, there exists a polyhedral cell complex that supports a minimal free resolution of I.
引用
@article{arxiv.math/0702629,
title = {On Borel fixed ideals generated in one degree},
author = {Achilleas Sinefakopoulos},
journal= {arXiv preprint arXiv:math/0702629},
year = {2007}
}
备注
18 pages, 6 figures