RIGID DUALIZING COMPLEXES

Document Type : Other

Author

Abstract

Let $X$ be a sufficiently nice scheme.
We survey some recent progress on dualizing complexes. It turns
out that a complex in $kinj X$ is dualizing if and only if
tensor product with it induces an equivalence of categories
from Murfet's new
category $kmpr X$ to the category
$kinj X$. In these terms, it
becomes interesting to wonder how to glue such equivalences.

Keywords

History

• Receive Date: 09 March 2010
• Revise Date: 10 November 2010
• Accept Date: 11 November 2010
• First Publish Date: 15 July 2011