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The Residue Theorem via an Explicit Construction of Traces

✍ Scribed by I-Chiau Huang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
290 KB
Volume
245
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let

be a locally Noetherian scheme and Ο†: β†’ be a morphism of finite type, whose fibers have bounded dimensions. Given a residual complex β€’ on with Cousin data, a residual complex Ο† ! β€’ on with Cousin data has been constructed. In this article, transitivity of residual complexes is clarified and a trace map tr / : Ο† * Ο† ! β€’ β†’ β€’ is constructed in terms of Cousin data. With these concrete data, the residue theorem is directly proved.

πŸ“œ SIMILAR VOLUMES

An Explicit Construction of Residual Com
An Explicit Construction of Residual Complexes
✍ I-Chiau Huang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 290 KB

## Let Ο†: β†’ be a morphism of finite type between locally Noetherian schemes whose fibers have bounded dimensions. Given concretely a residual complex on , we construct canonically a concrete residual complex on cY .