Serre-duality for Tails(𝐴)

DOI10.1090/S0002-9939-97-03670-8zbMath0860.14002OpenAlexW1558752580MaRDI QIDQ4333002

Peter Jørgensen

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03670-8

zbMATH Keywords

Brown adjoint functor theoremnon-commutative projective schemesSerre-duality

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Graded rings and modules (associative rings and algebras) (16W50) Rings with polynomial identity (16R99)

Related Items (8)

Cohomology of tails, Tate-Vogel cohomology, and noncommutative Serre duality over Koszul quiver algebras. ⋮ Serre duality for noncommutative projective schemes ⋮ Naïve noncommutative blowups at zero-dimensional schemes ⋮ Arakelov theory of noncommutative arithmetic surfaces ⋮ Naïve noncommutative blowing up ⋮ Dualizing complexes over noncommutative local rings ⋮ Rings with Auslander dualizing complexes ⋮ Pre-balanced dualizing complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Noncommutative projective schemes
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Serre duality for noncommutative projective schemes
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Des catégories abéliennes

This page was built for publication: Serre-duality for Tails(𝐴)