Equivariant Dualizing Complexes and Canonical Modules

2009 ◽  
pp. 443-448
Author(s):  
Joseph Lipman ◽  
Mitsuyasu Hashimoto
Keyword(s):  
Dualizing Complexes

scholarly journals Semi-dualizing complexes and their Auslander categories

2001 ◽  
Vol 353 (5) ◽  
pp. 1839-1883 ◽  
Author(s):  
Lars Winther Christensen
Keyword(s):  
Dualizing Complexes

Dualizing Complexes of Affine Semigroup Rings

1990 ◽  
Vol 322 (2) ◽  
pp. 561 ◽  
Author(s):  
Uwe Schafer ◽  
Peter Schenzel
Keyword(s):  
Semigroup Rings ◽  
Affine Semigroup ◽  
Dualizing Complexes

On Grothendieck's local duality theorem

1979 ◽  
Vol 85 (3) ◽  
pp. 431-437 ◽  
Author(s):  
M. H. Bijan-Zadeh ◽  
R. Y. Sharp
Keyword(s):  
Algebraic Geometry ◽  
Commutative Algebra ◽  
Noetherian Ring ◽  
Duality Theorem ◽  
Great Emphasis ◽  
Triangulated Category ◽  
Elementary Approach ◽  
Commutative Noetherian Ring ◽  
Local Duality ◽  
Dualizing Complexes

In (11) and (12), a comparatively elementary approach to the use of dualizing complexes in commutative algebra has been developed. Dualizing complexes were introduced by Grothendieck and Hartshorne in (2) for use in algebraic geometry; the approach to dualizing complexes in (11) and (12) differs from that of Grothendieck and Hartshorne in that it avoids use of the concepts of triangulated category, derived category, and localization of categories, and instead places great emphasis on the concept of quasi-isomorphism of complexes of modules over a commutative Noetherian ring.

scholarly journals Tensor product of dualizing complexes over a field

2018 ◽  
Vol 10 (2) ◽  
pp. 243-263 ◽  
Author(s):  
Liran Shaul
Keyword(s):  
Tensor Product ◽  
Dualizing Complexes

Hopf algebras with rigid dualizing complexes

2008 ◽  
Vol 169 (1) ◽  
pp. 89-108 ◽  
Author(s):  
D.-M. Lu ◽  
Q.-S. Wu ◽  
J. J. Zhang
Keyword(s):  
Hopf Algebras ◽  
Dualizing Complexes

scholarly journals A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES

2005 ◽  
Vol 33 (1) ◽  
pp. 119-132 ◽  
Author(s):  
Mohammad T. Dibaei
Keyword(s):  
Cousin Complexes ◽  
Dualizing Complexes
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