Intersection multiplicities over Gorenstein rings
| dc.creator | Miller, Claudia M. | |
| dc.creator | Singh, Anurag K. | |
| dc.date | 2002-10-08 | |
| dc.date.accessioned | 2026-07-07T04:51:45Z | |
| dc.date.available | 2026-07-07T04:51:45Z | |
| dc.description | We construct a complex of free-modules over a Gorenstein ring R of dimension five, for which the Euler characteristic and Dutta multiplicity are different. This complex is the resolution of an R-module of finite length and finite projective dimension. As a consequence, the ring R has a nonzero Todd class tau_3(R) and a bounded free complex whose local Chern character does not vanish on this class. In the course of our work, we construct a module N of finite length and finite projective dimension over the hypersurface A=K[u,v,w,x,y,z]/(ux+vy+wz), such that the Serre intersection multiplicity of the modules N and A/(u,v,w)A is -2. | |
| dc.identifier | https://arxiv.org/abs/math/0210129 | |
| dc.identifier | http://arxiv.org/abs/math/0210129 | |
| dc.identifier | Mathematische Annalen, 317 (2000) 155-171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65224 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14C17; 13H15; 14C15; 14C40 | |
| dc.title | Intersection multiplicities over Gorenstein rings | |
| dc.type | text |