Asymptotic behaviour of the length of local cohomology
| dc.creator | Cutkosky, Steven Dale | |
| dc.creator | Ha, Huy Tai | |
| dc.creator | Srinivasan, Hema | |
| dc.creator | Theodorescu, Emanoil | |
| dc.date | 2004-03-22 | |
| dc.date.accessioned | 2026-07-07T06:29:09Z | |
| dc.date.available | 2026-07-07T06:29:09Z | |
| dc.description | Let k be a field of characteristic 0, R = k[x_1, ..., x_d] be a polynomial ring, and m its maximal homogeneous ideal. Let I be a homogeneous ideal in R. In this paper we investigate asymptotic behaviour of the quotient between the length of local cohomology group H^0_m(R/I^n) and n^d. We show that this quantity always has a limit as n goes to infinity. We also give an example for which the limit is irrational; in particular, this proves that the length of H^0_m(R/I^n) is not asymptotically a polynomial in n. | |
| dc.description | To appear in Canadian Journal of Mathematics. 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403370 | |
| dc.identifier | http://arxiv.org/abs/math/0403370 | |
| dc.identifier | Canadian J. Math. 57 (2005), no. 6, 1178-1192. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97934 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D40; 14B15; 13D45 | |
| dc.title | Asymptotic behaviour of the length of local cohomology | |
| dc.type | text |