A numerical characterization of the S_2-ification of a Rees algebra
| dc.creator | Ciuperca, Catalin | |
| dc.date | 2002-09-23 | |
| dc.date.accessioned | 2026-07-07T04:51:07Z | |
| dc.date.available | 2026-07-07T04:51:07Z | |
| dc.description | Let A be a local ring with maximal ideal m. For an arbitrary ideal I of A, we define the generalized Hilbert coefficients j_k(I) \in Z^{k+1} (k=0,1,...,dim A). When the ideal I is m-primary, j_k(I)=(0,...,0,(-1)^k e_k(I)), where e_k(I) is the classical k-th Hilbert coefficient of I. Using these coefficients, we give a numerical characterization of the homogeneous components of the S_2-ification of S=A[It,t^{-1}]. | |
| dc.description | 24 pages, to be published in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0209293 | |
| dc.identifier | http://arxiv.org/abs/math/0209293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65035 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H15; 13D40; 13A30 | |
| dc.title | A numerical characterization of the S_2-ification of a Rees algebra | |
| dc.type | text |