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The splitting principle and singularities

Published 7 Aug 2011 in math.AG | (1108.1586v1)

Abstract: The splitting principle states that morphisms in a derived category do not "split" accidentally. This has been successsfully applied in several characterizations of rational, DB, and other singularities. In this article I prove a general statement that implies many of the previous individual statements and improves some of the characterizations in the process.

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