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|Title: ||Extensions of a dualizing complex by its ring: commutative versions of a conjecture of Tachikawa|
|Authors: ||Buchweitz, Ragnar-Olaf|
Avramov, Luchezar L.
Sega, Liana M.
|Issue Date: ||25-Feb-2005|
|Publisher: ||Cambridge University Press|
|Citation: ||Journal of Pure and Applied Algebra, 201, 218 – 239|
|Abstract: ||Let (R,m, k) be a commutative noetherian local ring with dualizing complex DR, normalized
R (k,DR) k. Partly motivated by a long standing conjecture of Tachikawa on (not
necessarily commutative) k-algebras of finite rank, we conjecture that if Extn
R(DR,R) = 0 for all
n>0, then R is Gorenstein, and prove this in several significant cases.|
|Appears in Collections:||Mathematics|
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