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arXiv:1108.1586 [math.AG]AbstractReferencesReviewsResources

The splitting principle and singularities

Sándor J Kovács

Published 2011-08-07Version 1

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.

Comments: 12 pages. To appear in the volume on "Compact moduli spaces and vector bundles"
Categories: math.AG
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