Cousin complexes via total fractions

Cousin complexes via total fractions

With respect to the filtration provided by codimensions of points on a locally Noetherian scheme, we give a new approach to Cousin complexes of sheaves of modules using total fractions. Concrete examples are worked out to illustrate the computational aspect of Cousin complexes.

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Veröffentlicht in:Journal of pure and applied algebra 2023-09, Vol.227 (9), p.107375, Article 107375
1. Verfasser: Huang, I-Chiau
Format: Artikel
Sprache:eng
Schlagworte:
Cohen-Macaulay
Cousin cohomology
Cousin complex
Generalized fraction
Gorenstein
Local cohomology
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Beschreibung
Zusammenfassung:With respect to the filtration provided by codimensions of points on a locally Noetherian scheme, we give a new approach to Cousin complexes of sheaves of modules using total fractions. Concrete examples are worked out to illustrate the computational aspect of Cousin complexes.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2023.107375