Dualizing complexes and homomorphisms vanishing in Koszul homology
Javier Majadas
TL;DR
This paper investigates conditions under which a semidualizing complex over a noetherian local ring becomes dualizing, focusing on the role of homomorphisms and Koszul homology vanishing.
Contribution
It establishes new criteria linking homomorphisms and Koszul homology to the dualizing property of complexes over local rings.
Findings
Identification of conditions for a semidualizing complex to be dualizing
Connection between homomorphisms and Koszul homology vanishing
New criteria for dualizing complexes in local algebra
Abstract
Let C be a semidualizing complex over a noetherian local ring A. If there exists a local homomorphism with source A satisfying some homological properties, then C is dualizing.
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