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 Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9846

 Title: Extensions of a dualizing complex by its ring: commutative versions of a conjecture of Tachikawa Authors: Buchweitz, Ragnar-OlafAvramov, 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 by Extdepth(R) 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. URI: http://hdl.handle.net/1807/9846 Appears in Collections: Mathematics

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