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Intersection multiplicities over Gorenstein rings | | Claudia M. Miller
; Anurag K. Singh
; | | Date: |
9 Oct 2002 | | Journal: | Mathematische Annalen, 317 (2000) 155-171 | | Subject: | Commutative Algebra MSC-class: 14C17; 13H15; 14C15; 14C40 | math.AC | | Abstract: | 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. | | Source: | arXiv, math.AC/0210129 | | Services: | Forum | Review | PDF | Favorites | |
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