Please use this identifier to cite or link to this item: http://dx.doi.org/10.25673/118274
Title: A note on Deligne's formula
Author(s): Schenzel, PeterLook up in the Integrated Authority File of the German National Library
Issue Date: 2024
Type: Article
Language: English
Abstract: Let R denote a Noetherian ring and an ideal J ⊂ R with U = Spec R \ V (J). For an R-module M there is an isomorphism Γ(U, ˜M ) ∼= lim−−→ HomR(Jn, M ) known as Deligne's formula (see [8, p. 217] and Deligne's Appendix in [7]). We extend the isomorphism for any R-module M in the non-Noetherian case of R and J = (x1, . . . , xk ) a certain finitely generated ideal. Moreover, we recall a corresponding sheaf construction.
URI: https://opendata.uni-halle.de//handle/1981185920/120233
http://dx.doi.org/10.25673/118274
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Journal Title: Journal of pure and applied algebra
Publisher: North-Holland, Elsevier Science
Publisher Place: Amsterdam [u.a.]
Volume: 228
Issue: 12
Original Publication: 10.1016/j.jpaa.2024.107754
Page Start: 1
Page End: 8
Appears in Collections:Open Access Publikationen der MLU

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